<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>3</documentType>
<periodOfReport>2004-01-01</periodOfReport>
    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001219702</issuerCik>
        <issuerName>LINK ENERGY LLC</issuerName>
        <issuerTradingSymbol>LNKE</issuerTradingSymbol>
</issuer>
<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>0001275110</rptOwnerCik>
            <rptOwnerName>PATEL RAJIV A</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>
<nonDerivativeTable><nonDerivativeHolding><securityTitle><value>Limited Liability Company Units</value>
</securityTitle>
<postTransactionAmounts><sharesOwnedFollowingTransaction><value>2439136</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature><directOrIndirectOwnership><value>I</value>
</directOrIndirectOwnership>
<natureOfOwnership><value>See footnotes</value>
<footnoteId id="F1"></footnoteId>
<footnoteId id="F2"></footnoteId>
<footnoteId id="F3"></footnoteId>
<footnoteId id="F4"></footnoteId>
</natureOfOwnership>
</ownershipNature>
</nonDerivativeHolding>
</nonDerivativeTable>
<derivativeTable></derivativeTable>
<footnotes><footnote id="F1">This Form 3 is being filed to reflect that effective on January 1, 2004, each of Charles E. Ellwein ("Ellwein") and Rajiv A. Patel ("Patel") became a managing member of  Farallon Capital Management, L.L.C. ("FCMLLC") and Farallon Partners, L.L.C. ("FPLLC") and as such may be deemed to be a beneficial owner of the securities beneficially owned by such entities as of such date.</footnote>
<footnote id="F2">There have been no transactions in the Issuer's securities by Ellwein or Patel and there have been no transactions in the Issuer's securities by FCMLLC, FPLLC or by the LLCs or the Partnerships (as defined in footnote (3) of this Form 3) since such entities' Schedule 13D (the "13D") was filed on September 8, 2003.</footnote>
<footnote id="F3">As previously reported on the 13D filed jointly by the following entities and individuals on September 8, 2003: (i) all of these securities are owned directly by Farallon Offshore Special Holdings LLC, Farallon Institutional Special Holdings LLC (together, the "LLCs"), Farallon Capital Partners, L.P. or Tinicum Partners, L.P. (together, the "Partnerships"), (ii) the securities owned directly by the Partnerships may be deemed to be beneficially owned by FPLLC, as the general partner of each of the Partnerships and the securities owned directly by the LLCs may be deemed to be beneficially owned by FCMLLC, as the manager of the LLCs, and (iii)  the securities owned directly by the LLCs and the Partnerships may be deemed to be beneficially owned by the managing members and the senior managing member of FCMLLC and FPLLC.</footnote>
<footnote id="F4">Ellwein, Patel and FCMLLC disclaim any beneficial ownership of any of the Issuer's securities reported or referred to herein for purposes of Rule 16a-1(a) under the Securities Exchange Act of 1934, as amended (the "'34 Act").  FPLLC disclaims any beneficial ownership of any of the Issuer's securities referred to herein for purposes of Rule 16a-1(a) under the '34 Act, except as to securities representing its pro rata interest in, and interest in the profits of, the Partnerships.  The entities and individuals identified in footnotes (1) and (3) of this Form 3 may be deemed members of a group holding equity securities of the Issuer.  The filing of this Form 3 shall not be deemed to be an admission that such entities and individuals are members of such group.</footnote>
</footnotes>
<ownerSignature><signatureName>/s/ Monica R. Landry, as attorney-in-fact and/or authorized signer for each of Charles E. Ellwein and Rajiv A. Patel</signatureName>
<signatureDate>2004-01-07</signatureDate>
</ownerSignature>
<ownerSignature><signatureName>.</signatureName>
<signatureDate>2004-01-07</signatureDate>
</ownerSignature>
</ownershipDocument>

