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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-06-16</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>2020-06-16</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>37823</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>46.621</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>212745</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-06-17</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>36168</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>48.752</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>267689</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1075440</value>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents shares sold to satisfy tax liability upon the vesting of restricted stock units.</footnote>
        <footnote id="F2">Represents shares of Class A common stock previously beneficially owned by the reporting person and issued to the reporting person upon settlement of restricted stock units on June 16, 2020.</footnote>
        <footnote id="F3">Represents shares of Class A common stock previously beneficially owned by the reporting person and issued to the reporting person upon settlement of restricted stock units on June 17, 2020.</footnote>
        <footnote id="F4">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 was satisfied with respect to 25% of these restricted stock units on June 13, 2020 and then will be satisfied with respect to 12.5% of these restricted stock units 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 June 13, 2024, subject to the filing person's continued employment with Chewy, Inc. through the applicable vesting date.</footnote>
        <footnote id="F5">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 June 13, 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>2020-06-18</signatureDate>
    </ownerSignature>
</ownershipDocument>
