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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-08-06</periodOfReport>

    <issuer>
        <issuerCik>0001320760</issuerCik>
        <issuerName>TSS, Inc.</issuerName>
        <issuerTradingSymbol>TSSI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001318924</rptOwnerCik>
            <rptOwnerName>Penver John K</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O TSS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>110 E. OLD SETTLERS BLVD.</rptOwnerStreet2>
            <rptOwnerCity>ROUND ROCK</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>78664</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOfficer>1</isOfficer>
            <officerTitle>Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-08-06</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>280000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>650312</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">These shares of common stock represent restricted stock granted pursuant to an award agreement between Mr. Penver and the Issuer and are subject to forfeiture. The restricted stock awarded will vest in installments as follows: (1) 93,334 will vest on August 6, 2021, (2) 93,333 will vest on August 6, 2022, and (3) 93,333 will vest on August 6, 2023.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Christopher R. Johnson, Attorney-in-Facts</signatureName>
        <signatureDate>2020-08-10</signatureDate>
    </ownerSignature>
</ownershipDocument>
