<?xml version="1.0"?>
<edgarSubmission>

    <schemaVersion>X0704</schemaVersion>

    <submissionType>D/A</submissionType>

    <testOrLive>LIVE</testOrLive>

    <primaryIssuer>
        <cik>0001162436</cik>
        <entityName>Oaktree High Income Convertible Fund, L.P.</entityName>
        <issuerAddress>
            <street1>Oaktree Capital Management, L.P.</street1>
            <street2>333 South Grand Ave., 28th Floor</street2>
            <city>Los Angeles</city>
            <stateOrCountry>CA</stateOrCountry>
            <stateOrCountryDescription>CALIFORNIA</stateOrCountryDescription>
            <zipCode>90071</zipCode>
        </issuerAddress>
        <issuerPhoneNumber>213-830-6300</issuerPhoneNumber>
        <jurisdictionOfInc>DELAWARE</jurisdictionOfInc>
        <issuerPreviousNameList>
            <value>None</value>
        </issuerPreviousNameList>
        <edgarPreviousNameList>
            <previousName>OCM High Income Convertible Limited Partnership</previousName>
            <previousName>OCM HIGH INCOME CONVERTIBLE LP</previousName>
        </edgarPreviousNameList>
        <entityType>Limited Partnership</entityType>
        <yearOfInc>
            <overFiveYears>true</overFiveYears>
        </yearOfInc>
    </primaryIssuer>

    <relatedPersonsList>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Howard</firstName>
                <middleName>S.</middleName>
                <lastName>Marks</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>333 South Grand Avenue</street1>
                <street2>28th Floor</street2>
                <city>Los Angeles</city>
                <stateOrCountry>CA</stateOrCountry>
                <stateOrCountryDescription>CALIFORNIA</stateOrCountryDescription>
                <zipCode>90071</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Executive officer of the general partner of the general partner of the issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>Bruce</firstName>
                <middleName>A.</middleName>
                <lastName>Karsh</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>333 South Grand Avenue</street1>
                <street2>28th Floor</street2>
                <city>Los Angeles</city>
                <stateOrCountry>CA</stateOrCountry>
                <stateOrCountryDescription>CALIFORNIA</stateOrCountryDescription>
                <zipCode>90071</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Executive officer of the general partner of the general partner of the issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>David</firstName>
                <middleName>M.</middleName>
                <lastName>Kirchheimer</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>333 South Grand Avenue</street1>
                <street2>28th Floor</street2>
                <city>Los Angeles</city>
                <stateOrCountry>CA</stateOrCountry>
                <stateOrCountryDescription>CALIFORNIA</stateOrCountryDescription>
                <zipCode>90071</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Executive officer of the general partner of the general partner of the issuer.</relationshipClarification>
        </relatedPersonInfo>
        <relatedPersonInfo>
            <relatedPersonName>
                <firstName>John</firstName>
                <middleName>B.</middleName>
                <lastName>Frank</lastName>
            </relatedPersonName>
            <relatedPersonAddress>
                <street1>333 South Grand Avenue</street1>
                <street2>28th Floor</street2>
                <city>Los Angeles</city>
                <stateOrCountry>CA</stateOrCountry>
                <stateOrCountryDescription>CALIFORNIA</stateOrCountryDescription>
                <zipCode>90071</zipCode>
            </relatedPersonAddress>
            <relatedPersonRelationshipList>
                <relationship>Executive Officer</relationship>
            </relatedPersonRelationshipList>
            <relationshipClarification>Executive officer of the general partner of the general partner of the issuer.</relationshipClarification>
        </relatedPersonInfo>
    </relatedPersonsList>

    <offeringData>
        <industryGroup>
            <industryGroupType>Pooled Investment Fund</industryGroupType>
            <investmentFundInfo>
                <investmentFundType>Hedge Fund</investmentFundType>
                <is40Act>false</is40Act>
            </investmentFundInfo>
        </industryGroup>
        <issuerSize>
            <aggregateNetAssetValueRange>Decline to Disclose</aggregateNetAssetValueRange>
        </issuerSize>
        <federalExemptionsExclusions>
            <item>06</item>
            <item>3C</item>
            <item>3C.7</item>
        </federalExemptionsExclusions>
        <typeOfFiling>
            <newOrAmendment>
                <isAmendment>true</isAmendment>
                <previousAccessionNumber>0001181431-10-014913</previousAccessionNumber>
            </newOrAmendment>
            <dateOfFirstSale>
                <value>2001-11-01</value>
            </dateOfFirstSale>
        </typeOfFiling>
        <durationOfOffering>
            <moreThanOneYear>true</moreThanOneYear>
        </durationOfOffering>
        <typesOfSecuritiesOffered>
            <isEquityType>true</isEquityType>
            <isPooledInvestmentFundType>true</isPooledInvestmentFundType>
        </typesOfSecuritiesOffered>
        <businessCombinationTransaction>
            <isBusinessCombinationTransaction>false</isBusinessCombinationTransaction>
            <clarificationOfResponse></clarificationOfResponse>
        </businessCombinationTransaction>
        <minimumInvestmentAccepted>0</minimumInvestmentAccepted>
        <salesCompensationList></salesCompensationList>
        <offeringSalesAmounts>
            <totalOfferingAmount>Indefinite</totalOfferingAmount>
            <totalAmountSold>146325456</totalAmountSold>
            <totalRemaining>Indefinite</totalRemaining>
            <clarificationOfResponse></clarificationOfResponse>
        </offeringSalesAmounts>
        <investors>
            <hasNonAccreditedInvestors>false</hasNonAccreditedInvestors>
            <totalNumberAlreadyInvested>9</totalNumberAlreadyInvested>
        </investors>
        <salesCommissionsFindersFees>
            <salesCommissions>
                <dollarAmount>0</dollarAmount>
                <isEstimate>true</isEstimate>
            </salesCommissions>
            <findersFees>
                <dollarAmount>0</dollarAmount>
                <isEstimate>true</isEstimate>
            </findersFees>
            <clarificationOfResponse>OCM Investments, LLC, CRD# 128803, 333 South Grand Avenue, 28th Floor, Los Angeles, CA 90071, will place the interests but is not anticipated to receive sales commissions.</clarificationOfResponse>
        </salesCommissionsFindersFees>
        <useOfProceeds>
            <grossProceedsUsed>
                <dollarAmount>0</dollarAmount>
                <isEstimate>true</isEstimate>
            </grossProceedsUsed>
            <clarificationOfResponse></clarificationOfResponse>
        </useOfProceeds>
        <signatureBlock>
            <authorizedRepresentative>false</authorizedRepresentative>
            <signature>
                <issuerName>Oaktree High Income Convertible Fund, L.P.</issuerName>
                <signatureName>/s/ Lisa Arakaki</signatureName>
                <nameOfSigner>Lisa Arakaki</nameOfSigner>
                <signatureTitle>Authorized Signatory of Oaktree Fund GP II, L.P., the Gen.P.</signatureTitle>
                <signatureDate>2011-02-04</signatureDate>
            </signature>
        </signatureBlock>
    </offeringData>
</edgarSubmission>
