<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
<periodOfReport>2004-01-02</periodOfReport>
<notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0001219702</issuerCik>
        <issuerName>LINK ENERGY LLC</issuerName>
        <issuerTradingSymbol>LNKE</issuerTradingSymbol>
</issuer>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001040153</rptOwnerCik>
            <rptOwnerName>FARALLON PARTNERS L L C/CA</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001175707</rptOwnerCik>
            <rptOwnerName>FARALLON CAPITAL PARTNERS LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001245631</rptOwnerCik>
            <rptOwnerName>TINICUM PARTNERS LP FARALLON</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000898361</rptOwnerCik>
            <rptOwnerName>COHEN DAVID I</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001250077</rptOwnerCik>
            <rptOwnerName>DING CHUN R</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000883957</rptOwnerCik>
            <rptOwnerName>DOWNES JOSEPH F</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001245638</rptOwnerCik>
            <rptOwnerName>DUHAMEL WILLIAM F</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANSICO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001275295</rptOwnerCik>
            <rptOwnerName>ELLWEIN CHARLES E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001245637</rptOwnerCik>
            <rptOwnerName>FRIED RICHARD B</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O FARALLON CAPITAL MANAGEMENT, L.L.C.</rptOwnerStreet1>
            <rptOwnerStreet2>ONE MARITIME PLAZA, SUITE 1325</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANSICO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>1</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Member of Group Owning 10%</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Limited Liability Company Units</value>
</securityTitle>
<transactionDate><value>2004-01-02</value>
</transactionDate>
<transactionCoding><transactionFormType>4</transactionFormType>
<transactionCode>J</transactionCode>
<equitySwapInvolved>0</equitySwapInvolved>
</transactionCoding>
<transactionAmounts><transactionShares><value>71989</value>
</transactionShares>
<transactionPricePerShare><footnoteId id="F10"></footnoteId>
</transactionPricePerShare>
<transactionAcquiredDisposedCode><value>A</value>
</transactionAcquiredDisposedCode>
</transactionAmounts>
<postTransactionAmounts><sharesOwnedFollowingTransaction><value>589101</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>D</value>
<footnoteId id="F1"></footnoteId>
<footnoteId id="F2"></footnoteId>
<footnoteId id="F3"></footnoteId>
</directOrIndirectOwnership>
</ownershipNature>
</nonDerivativeTransaction>
<nonDerivativeTransaction><securityTitle><value>Limited Liability Company Units</value>
</securityTitle>
<transactionDate><value>2004-01-02</value>
</transactionDate>
<transactionCoding><transactionFormType>4</transactionFormType>
<transactionCode>J</transactionCode>
<equitySwapInvolved>0</equitySwapInvolved>
</transactionCoding>
<transactionAmounts><transactionShares><value>3482</value>
</transactionShares>
<transactionPricePerShare><footnoteId id="F10"></footnoteId>
</transactionPricePerShare>
<transactionAcquiredDisposedCode><value>A</value>
</transactionAcquiredDisposedCode>
</transactionAmounts>
<postTransactionAmounts><sharesOwnedFollowingTransaction><value>28496</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>D</value>
<footnoteId id="F1"></footnoteId>
<footnoteId id="F2"></footnoteId>
<footnoteId id="F4"></footnoteId>
</directOrIndirectOwnership>
</ownershipNature>
</nonDerivativeTransaction>
<nonDerivativeHolding><securityTitle><value>Limited Liability Company Units</value>
</securityTitle>
<postTransactionAmounts><sharesOwnedFollowingTransaction><value>617597</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>I</value>
</directOrIndirectOwnership>
<natureOfOwnership><value>See footnotes</value>
<footnoteId id="F1"></footnoteId>
<footnoteId id="F2"></footnoteId>
<footnoteId id="F5"></footnoteId>
</natureOfOwnership>
</ownershipNature>
</nonDerivativeHolding>
<nonDerivativeTransaction><securityTitle><value>Limited Liability Company Units</value>
</securityTitle>
<transactionDate><value>2004-01-02</value>
</transactionDate>
<transactionCoding><transactionFormType>4</transactionFormType>
<transactionCode>J</transactionCode>
<equitySwapInvolved>0</equitySwapInvolved>
</transactionCoding>
<transactionAmounts><transactionShares><value>170877</value>
</transactionShares>
<transactionPricePerShare><footnoteId id="F10"></footnoteId>
</transactionPricePerShare>
<transactionAcquiredDisposedCode><value>A</value>
</transactionAcquiredDisposedCode>
</transactionAmounts>
<postTransactionAmounts><sharesOwnedFollowingTransaction><value>1398317</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>D</value>
<footnoteId id="F1"></footnoteId>
<footnoteId id="F2"></footnoteId>
<footnoteId id="F6"></footnoteId>
</directOrIndirectOwnership>
</ownershipNature>
</nonDerivativeTransaction>
<nonDerivativeTransaction><securityTitle><value>Limited Liability Company Units</value>
</securityTitle>
<transactionDate><value>2004-01-02</value>
</transactionDate>
<transactionCoding><transactionFormType>4</transactionFormType>
<transactionCode>J</transactionCode>
<equitySwapInvolved>0</equitySwapInvolved>
</transactionCoding>
<transactionAmounts><transactionShares><value>93214</value>
</transactionShares>
<transactionPricePerShare><footnoteId id="F10"></footnoteId>
</transactionPricePerShare>
<transactionAcquiredDisposedCode><value>A</value>
</transactionAcquiredDisposedCode>
</transactionAmounts>
<postTransactionAmounts><sharesOwnedFollowingTransaction><value>762784</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>D</value>
<footnoteId id="F1"></footnoteId>
<footnoteId id="F2"></footnoteId>
<footnoteId id="F7"></footnoteId>
</directOrIndirectOwnership>
</ownershipNature>
</nonDerivativeTransaction>
<nonDerivativeHolding><securityTitle><value>Limited Liability Company Units</value>
</securityTitle>
<postTransactionAmounts><sharesOwnedFollowingTransaction><value>2161101</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>I</value>
</directOrIndirectOwnership>
<natureOfOwnership><value>See footnotes</value>
<footnoteId id="F1"></footnoteId>
<footnoteId id="F2"></footnoteId>
<footnoteId id="F8"></footnoteId>
</natureOfOwnership>
</ownershipNature>
</nonDerivativeHolding>
<nonDerivativeHolding><securityTitle><value>Limited Liability Company Units</value>
</securityTitle>
<postTransactionAmounts><sharesOwnedFollowingTransaction><value>2778698</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>I</value>
</directOrIndirectOwnership>
<natureOfOwnership><value>See footnotes</value>
<footnoteId id="F1"></footnoteId>
<footnoteId id="F2"></footnoteId>
<footnoteId id="F9"></footnoteId>
</natureOfOwnership>
</ownershipNature>
</nonDerivativeHolding>
</nonDerivativeTable>
<derivativeTable></derivativeTable>
<footnotes><footnote id="F1">The aggregate amount of securities reported on this Form 4 is 2,778,698, of which 589,101 shares are owned directly by Farallon Capital Partners, L.P.  ("FCP"); 28,496 shares are owned directly by Tinicum Partners, L.P. ("Tinicum"); 1,398,317 shares are directly owned by Farallon Offshore Special Holdings LLC ("FOSH") and 762,784 shares are directly owned by Farallon Institutional Special Holdings LLC ("FISH").  The footnotes of this Form 4 set forth the ownerships of these entities, as well as the other entities and individuals that may be deemed to beneficially own such securities, and explain the relationships between such entities and individuals.</footnote>
<footnote id="F2">The entities and individuals identified in the footnotes of this Form 4 may be deemed members of a group holding equity securities of the Issuer.  The filing of this Form 4 and any statements included herein shall not be deemed to be an admission that such entities and individuals are members of such group. Since the number of reporting persons that may be listed on a Form 4 is limited, Farallon Capital Management, L.L.C. ("FCMLLC"), FOSH, FISH, Monica R. Landry, William F. Mellin, Stephen L. Millham, Rajiv A. Patel, Derek C. Schrier, Thomas F. Steyer and Mark C. Wehrly, each as listed in footnote (9) of this Form 4, are filing a separate Form 4 on the same date as the filing of this Form 4 as reporting persons with respect to the securities described in this Form 4. Information regarding these entities and these individual filers is included on this Form 4 for purposes of clarification and convenience only, and is duplicative of the information reported in such other Form 4.</footnote>
<footnote id="F3">The amount of securities shown in column 5 of Table I of this Form 4 is owned directly by FCP (FCP, together with Tinicum, being the "Partnerships").</footnote>
<footnote id="F4">The amount of securities shown in column 5 of Table I of this Form 4 is owned directly by Tinicum.</footnote>
<footnote id="F5">The amount of securities shown in column 5 of Table I of this Form 4 is owned directly by FCP and Tinicum.  As the general partner to each of FCP and Tinicum, FPLLC may be deemed to be the beneficial owner of the Issuer's securities held by each of FCP and Tinicum.  FPLLC disclaims any beneficial ownership of any of the Issuer's securities reported herein for purposes of Rule 16a-1(a) under the Securities Exchange Act of 1934, as amended, or otherwise, except as to securities representing FPLLC's pro rata interest in, and interest in the profits of, FCP and Tinicum.</footnote>
<footnote id="F6">The amount of securities shown in column 5 of Table I of this Form 4 is owned directly by FOSH  (together with FISH, the "LLCs").</footnote>
<footnote id="F7">The amount of securities shown in column 5 of Table I of this Form 4 is owned directly by FISH.</footnote>
<footnote id="F8">The amount of securities shown in column 5 of Table I of this Form 4 is owned directly by FOSH and FISH.  As the manager member of the LLCs, FCMLLC may be deemed to be the beneficial owner of the Issuer's securities beneficially owned by the LLCs.  FCMLLC disclaims any beneficial ownership of any of the Issuer's securities reported herein for purposes of Rule 16a-1(a) under the Securities Exchange Act of 1934, as amended, or otherwise.</footnote>
<footnote id="F9">The amount of securities shown in column 5 of Table I of this Form 4 is owned directly by the Partnerships and by the LLCs.  Each of David I. Cohen, Chun R. Ding, Joseph F. Downes, William F. Duhamel, Charles E. Ellwein, Richard B. Fried, Monica R. Landry, William F. Mellin, Stephen L. Millham, Rajiv A. Patel, Derek C. Schrier and Mark C. Wehrly  (collectively the "Managing Members") and Thomas F. Steyer (the "Senior Managing Member"), as either a managing member or senior managing member of FPLLC and FCMLLC, may be deemed to be a beneficial owner of the Issuer's securities held by the Partnerships and the LLCs as referenced in footnotes (3), (4), (6) and (7) of this Form 4.  The Managing Members and the Senior Managing Member disclaim any beneficial ownership of any of the Issuer's securities reported herein for purposes of Rule 16(a)-1(a) under the Securities Exchange Act of 1934, as amended, or otherwise.</footnote>
<footnote id="F10">The LLCs and the Partnerships acquired the securities reported in this Form 4, as well as certain 9% Senior Unsecured Notes issued by the Issuer (the "9% Notes"), as distributions on general unsecured claims (the "Farallon Claims") held in the Chapter 11 reorganization proceedings of EOTT Energy Partners, L.P. (now known as Link Energy LLC, the Issuer) and certain affiliated entities which commenced on October 8, 2002 in the United States Bankruptcy Court for the Southern District of Texas, Corpus Christi Division.  The securities reported on the Reporting Persons' Form 3s filed with respect to the Issuer, together with the 9% Notes issued by the Issuer received as of September 8, 2003, represented payment on 90% of the Farallon Claims. The additional securities reported on this Form 4, together with certain additional 9% Notes received by the Reporting Persons, represent payment on the remaining 10% of the Farallon Claims. These transactions are neither purchases nor sales.</footnote>
</footnotes>
<ownerSignature><signatureName>/s/ Joseph F. Downes, on his own behalf and as attorney-in-fact and/or authorized signer for each of FPLLC, FCP, Tinicum, David I. Cohen, Chun R. Ding, William F. Duhamel, Charles E. Ellwein and Richard B. Fried</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-22</signatureDate>
</ownerSignature>
</ownershipDocument>

