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

    <schemaVersion>X0607</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2026-07-01</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0002097545</issuerCik>
        <issuerName>AMG BBH Asset-Backed Credit Fund, LLC</issuerName>
        <issuerTradingSymbol>BBASX</issuerTradingSymbol>
        <issuerForeignTradingSymbol></issuerForeignTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0002153253</rptOwnerCik>
            <rptOwnerName>Pustorino Paul James</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>false</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>C/O BROWN BROTHERS HARRIMAN</rptOwnerStreet1>
            <rptOwnerStreet2>CREDIT PARTNERS, LLC 140 BROADWAY</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10005</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>false</isDirector>
            <isOfficer>false</isOfficer>
            <isTenPercentOwner>false</isTenPercentOwner>
            <isOther>true</isOther>
            <otherText>See Footnote (1)</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <remarks>1. The Reporting Person is the Controller of Brown Brothers Harriman Credit Partners, LLC (the &quot;Investment Adviser&quot;), the investment adviser to the Issuer. The Reporting Person disclaims beneficial ownership of any shares deemed beneficially owned by the Investment Adviser except to the extent of his pecuniary interest therein, and the inclusion of such securities in any report filed by the Investment Adviser shall not be deemed an admission of beneficial ownership for purposes of Section 16 or for any other purpose.</remarks>

    <ownerSignature>
        <signatureName>/s/ Paul Pustorino</signatureName>
        <signatureDate>2026-10-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
