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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2021-01-29</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001449488</issuerCik>
        <issuerName>CSI Compressco LP</issuerName>
        <issuerTradingSymbol>CCLP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001843382</rptOwnerCik>
            <rptOwnerName>Spartan Energy Holdco LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>24955 INTERSTATE 45 N</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>THE WOODLANDS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77380</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common units representing limited partner interests</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>10952478</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote.</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On January 29, 2021, Spartan Energy Holdco, LLC (&quot;Holdco&quot;) completed the acquisition of certain interests in CSI Compressco GP LLC (&quot;Compressco GP&quot;), the general partner of CSI Compressco LP (the &quot;Issuer&quot;), pursuant to that certain Purchase and Sale Agreement, dated as of January 29, 2021 by and among Holdco, TETRA Technologies, Inc. and, solely for the limited purposes set forth therein, Spartan Energy Partners LP. As a result, Compressco GP is now a wholly owned subsidiary of Holdco. Compressco GP owns (i) the general partner interest in the Issuer, (ii) 7,463,257 common units representing limited partner interests in the Issuer (&quot;Common Units&quot;), (iii) all of the membership interests in CSI Compressco Investment LLC (&quot;Compressco Investment&quot;) and (iv) all of the outstanding incentive distribution rights issued by the Issuer. Compressco Investment owns 3,489,221 Common Units. Holdco is an indirect beneficial owner of the Common Units held by Compressco GP and Compressco Investment.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>SPARTAN ENERGY HOLDCO LLC, by: SPARTAN ENERGY PARTNERS LP, its sole member, by: Spartan Energy Partners GP LLC, its general partner, by: Jonathan W. Byers, Secretary</signatureName>
        <signatureDate>2021-02-05</signatureDate>
    </ownerSignature>
</ownershipDocument>
