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

    <schemaVersion>X0609</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2026-07-29</periodOfReport>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0002102651</rptOwnerCik>
            <rptOwnerName>BROWN BROTHERS HARRIMAN CREDIT PARTNERS, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>false</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>140 BROADWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10005</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isTenPercentOwner>true</isTenPercentOwner>
            <isOther>true</isOther>
            <otherText>See Footnote (1)</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000014661</rptOwnerCik>
            <rptOwnerName>BROWN BROTHERS HARRIMAN &amp; CO</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>false</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>140 BROADWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10005</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isTenPercentOwner>true</isTenPercentOwner>
            <isOther>true</isOther>
            <otherText>See Footnote (1)</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>false</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class S units of beneficial interest</value>
            </securityTitle>
            <transactionDate>
                <value>2026-07-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>20464.956</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.9622</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>390440.515</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Brown Brothers Harriman Credit Partners, LLC (&quot;Credit Partners&quot;) serves as the investment adviser to the Issuer. Brown Brothers Harriman &amp; Co. (&quot;BBH&quot;) is the majority owner of Credit Partners. As a result, BBH may be deemed to beneficially own the securities directly owned by Credit Partners. The securities reported herein do not include securities held for the accounts of certain discretionary client accounts for which BBH serves as a fiduciary and in which BBH has no pecuniary interest. Each of the Reporting Persons disclaims beneficial ownership of the securities reported herein except to the extent of its pecuniary interest therein, and the filing of this Form 4 shall not be construed as an admission that either of the Reporting Persons is the beneficial owner of any such securities for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, or for any other purpose.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>BROWN BROTHERS HARRIMAN CREDIT PARTNERS, LLC /s/ Paul Gallagher By: Paul Gallagher, Managing Director, Compliance</signatureName>
        <signatureDate>2026-07-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BROWN BROTHERS HARRIMAN &amp; CO /s/ Paul Gallagher By: Paul Gallagher, Chief Compliance Officer</signatureName>
        <signatureDate>2026-07-31</signatureDate>
    </ownerSignature>
</ownershipDocument>
