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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-08-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001564406</issuerCik>
        <issuerName>Oak Street Health, Inc.</issuerName>
        <issuerTradingSymbol>OSH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001782866</rptOwnerCik>
            <rptOwnerName>Newlight Partners LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>320 PARK AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001820000</rptOwnerCik>
            <rptOwnerName>Newlight Harbour Point SPV LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O NEWLIGHT PARTNERS LP</rptOwnerStreet1>
            <rptOwnerStreet2>320 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001782873</rptOwnerCik>
            <rptOwnerName>Newlight GP LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O NEWLIGHT PARTNERS LP</rptOwnerStreet1>
            <rptOwnerStreet2>320 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001782860</rptOwnerCik>
            <rptOwnerName>Yadav Ravi</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O NEWLIGHT PARTNERS LP</rptOwnerStreet1>
            <rptOwnerStreet2>320 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001233188</rptOwnerCik>
            <rptOwnerName>WASSONG DAVID</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O NEWLIGHT PARTNERS LP</rptOwnerStreet1>
            <rptOwnerStreet2>320 PARK AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.001</value>
            </securityTitle>
            <transactionDate>
                <value>2022-08-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7000000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>24.72</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>33509640</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This amount represents a public offering price of $25.75 per share of common stock, par value $0.001 per share (the &quot;Common Stock&quot;), of Oak Street Health, Inc. (the &quot;Company&quot;), less an underwriting discount of $1.03 per share for shares sold in an underwritten public offering.</footnote>
        <footnote id="F2">Represents shares held directly by Newlight Harbour Point SPV LLC (&quot;SPV&quot;). Newlight Partners LP controls SPV and serves as the exclusive investment manager to its client in respect of shares held by SPV. The general partner of Newlight Partners LP is Newlight GP LLC. The sole members of Newlight GP LLC are Ravi Yadav and David Wassong.</footnote>
    </footnotes>

    <remarks>The Reporting Persons may be deemed to be directors-by-deputization for the purpose of Section 16 of the Securities Exchange Act of 1934 as a result of the service of Srdjan Vukovic on the Board of Directors of the Company because Mr. Vukovic is an employee of Newlight Partners LP or one of its affiliates. Each of Newlight Partners LP, Newlight GP LLC, Ravi Yadav and David Wassong disclaims beneficial ownership of the shares of Common Stock of the Company, except to the extent of its pecuniary interest therein, and the inclusion of the Common Stock in any Section 16 report by such Reporting Persons shall not be deemed to be an admission of beneficial ownership of the Common Stock for purposes of Section 16 of the Securities Exchange Act of 1934 or otherwise. Information with respect to each of the Reporting Persons is given solely by such Reporting Person, and no Reporting Person has responsibility for the accuracy or completeness of information supplied by another Reporting Person.</remarks>

    <ownerSignature>
        <signatureName>Newlight Harbour Point SPV LLC, /s/ David Taylor, as attorney-in-fact</signatureName>
        <signatureDate>2022-08-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Newlight Partners LP, By: Newlight GP LLC, its general partner, /s/ David Taylor, as attorney-in-fact</signatureName>
        <signatureDate>2022-08-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Newlight GP LLC, /s/ David Taylor, as attorney-in-fact</signatureName>
        <signatureDate>2022-08-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ David Taylor, as attorney-in-fact for Ravi Yadav</signatureName>
        <signatureDate>2022-08-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ David Taylor, as attorney-in-fact for David Wassong</signatureName>
        <signatureDate>2022-08-19</signatureDate>
    </ownerSignature>
</ownershipDocument>
