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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-09-16</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001328015</issuerCik>
        <issuerName>Imprivata Inc</issuerName>
        <issuerTradingSymbol>IMPR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001456415</rptOwnerCik>
            <rptOwnerName>Highland Management Partners VI, Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HIGHLAND CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE BROADWAY, 16TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001135507</rptOwnerCik>
            <rptOwnerName>HIGHLAND CAPITAL PARTNERS VI-B LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HIGHLAND CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE BROADWAY, 16TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001253995</rptOwnerCik>
            <rptOwnerName>HIGHLAND MANAGEMENT PARTNERS VI L P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HIGHLAND CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE BROADWAY, 16TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001156158</rptOwnerCik>
            <rptOwnerName>HIGHLAND ENTREPRENEURS FUND VI LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HIGHLAND CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE BROADWAY, 16TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001135500</rptOwnerCik>
            <rptOwnerName>HIGHLAND CAPITAL PARTNERS VI LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O HIGHLAND CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>ONE BROADWAY, 16TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</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</value>
            </securityTitle>
            <transactionDate>
                <value>2016-09-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>959723</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-09-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1751129</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F3"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-09-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>86724</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F4"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Disposed of pursuant to the Agreement and Plan of Merger between the Issuer, Project Brady Merger Sub, Inc. and Project Brady Holdings, LLC (the &quot;Merger Agreement&quot;),whereby, at the effective time of the merger contemplated therein (the &quot;Effective Time&quot;), all issued and outstanding shares of the Issuer's common stock were converted into the right to receive $19.25 per share in cash and, when so converted, automatically cancelled.</footnote>
        <footnote id="F2">The securities are held by Highland Capital Partners VI-B Limited Partnership (&quot;HCP VI-B&quot;). Highland Management Partners VI Limited Partnership. (&quot;HMP VI LP&quot;) is the general partner of HCP VI-B. Highland Management Partners VI, Inc. (&quot;HMP VI INC&quot;) is the general partner of HMP VI LP. Each of HMP VI INC and HMP VI LP disclaims beneficial ownership of all shares held by HCP VI-B except to the extent, if any, of such entity's pecuniary interest therein.</footnote>
        <footnote id="F3">The securities are held by Highland Capital Partners VI Limited Partnership (&quot;HCP VI&quot;). Highland Management Partners VI Limited Partnership. (&quot;HMP VI LP&quot;) is the general partner of HCP VI. Highland Management Partners VI, Inc. (&quot;HMP VI INC&quot;) is the general partner of HMP VI LP. Each of HMP VI INC and HMP VI LP disclaims beneficial ownership of all shares held by HCP VI except to the extent, if any, of such entity's pecuniary interest therein.</footnote>
        <footnote id="F4">The securities are held by Highland Entrepreneurs' Fund VI Limited Partnership (&quot;HEF&quot;). HEF VI Limited Partnership (&quot;HMP VI LP&quot;) is the general partner of HEF. Highland Management Partners VI, Inc. (&quot;HMP VI INC&quot;) is the general partner of HEF VI LP. Each of HMP VI INC and HEF VI LP disclaims beneficial ownership of all shares held by HEF except to the extent, if any, of such entity's pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>HIGHLAND MANAGEMENT PARTNERS VI, INC., /s/ Jessica Healey</signatureName>
        <signatureDate>2016-09-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HIGHLAND MANAGEMENT PARTNERS VI
LIMITED PARTNERSHIP, BY: HIGHLAND MANAGEMENT
PARTNERS VI, INC., Its general partner,
 /s/ Jessica Healey</signatureName>
        <signatureDate>2016-09-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HIGHLAND CAPITAL PARTNERS VI LIMITED PARTNERSHIP, BY: HIGHLAND MANAGEMENT PARTNERS VI LIMITED PARTNERSHIP, Its general partner, By: HIGHLAND MANAGEMENT PARTNERS VI, INC., Its General Partner, /s/ Jessica Healey</signatureName>
        <signatureDate>2016-09-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HIGHLAND CAPITAL PARTNERS VI-B LIMITED PARTNERSHIP, BY: HIGHLAND MANAGEMENT PARTNERS VI LIMITED PARTNERSHIP, Its general partner, By: HIGHLAND MANAGEMENT PARTNERS VI, INC., Its General Partner, /s/ Jessica Healey</signatureName>
        <signatureDate>2016-09-16</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HIGHLAND ENTREPRENEURS' FUND VI LIMITED PARTNERSHIP, BY: HEF VI LIMITED PARTNERSHIP, Its general partner, By: HIGHLAND MANAGEMENT PARTNERS VI, INC., Its General Partner, /s/ Jessica Healey</signatureName>
        <signatureDate>2016-09-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
