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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-08-12</periodOfReport>

    <issuer>
        <issuerCik>0001766502</issuerCik>
        <issuerName>Chewy, Inc.</issuerName>
        <issuerTradingSymbol>CHWY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001777085</rptOwnerCik>
            <rptOwnerName>Marte Mario Jesus</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1855 GRIFFIN ROAD, SUITE B-428</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DANIA BEACH</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>33004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOfficer>1</isOfficer>
            <officerTitle>Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2021-08-12</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>20927</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>95.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>84995</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>30000</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>716960</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents sales effected pursuant to a Rule 10b5-1 trading plan adopted by the reporting person.</footnote>
        <footnote id="F2">Represents restricted stock units granted to the filing person on April 5, 2021. 50% of the restricted stock units will vest on March 1, 2022, and the remaining 50% of the restricted stock units will vest on March 1, 2023, subject to the filing person's continued employment with Chewy, Inc. through the applicable vesting date. Each restricted stock unit represents a contingent right to receive one share of Class A common stock of Chewy, Inc.</footnote>
        <footnote id="F3">Represents restricted stock units. Each restricted stock unit represents a contingent right to receive one share of Class A common stock of Chewy, Inc. The time-vesting condition will be satisfied with respect to 25% of these restricted stock units on December 13, 2021 and at the end of each six-month period thereafter, subject to the filing person's continued employment with Chewy, Inc. through the applicable vesting date. The share price condition will be satisfied with respect to a percentage of these restricted stock units, as and when the price per share of Class A common stock specified in Chewy, Inc.'s Registration Statement on Form S-1 (File No. 333-231095), as amended, is achieved, on a weighted-average basis, on every trading day during a consecutive 45-day trading period completed prior to December 14, 2024, subject to the filing person's continued employment with Chewy, Inc. through the applicable vesting date. The share price condition has been satisfied with respect to 100% of these restricted stock units.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Susan Helfrick, as Attorney-in-Fact for Mario Jesus Marte</signatureName>
        <signatureDate>2021-08-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
