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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-11-17</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001325670</issuerCik>
        <issuerName>Southern National Bancorp of Virginia Inc</issuerName>
        <issuerTradingSymbol>SONA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001459707</rptOwnerCik>
            <rptOwnerName>CASTLE CREEK CAPITAL PARTNERS IV, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CASTLE CREEK CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>6051 EL TORDO, PO BOX 1329</rptOwnerStreet2>
            <rptOwnerCity>RANCHO SANTA FE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001569797</rptOwnerCik>
            <rptOwnerName>Castle Creek Capital IV LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CASTLE CREEK CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>6051 EL TORDO, PO BOX 1329</rptOwnerStreet2>
            <rptOwnerCity>RANCHO SANTA FE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92067</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>2020-11-17</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>469000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>11.06</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2225876</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The reported price is a weighted-average price. These shares were sold in multiple transactions at prices ranging from $11.05 to $11.82, inclusive. The Reporting Persons undertake to provide to the Issuer, any security holder of the Issuer, or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within this range.</footnote>
        <footnote id="F2">These securities are directly held by Castle Creek Capital Partners IV, LP (&quot;Fund IV&quot;). Castle Creek Capital IV LLC is the sole general partner of Fund IV. Castle Creek Capital IV LLC disclaims beneficial ownership of such shares of Common Stock, except to the extent of its pecuniary interest therein, and this report shall not be deemed an admission that Castle Creek Capital IV LLC is the beneficial owner of such shares of Common Stock for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, or for any other purpose.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>CASTLE CREEK CAPITAL PARTNERS IV, LP, By: /s/ John M. Eggemeyer, Name: John M. Eggemeyer, Title: President</signatureName>
        <signatureDate>2020-11-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CASTLE CREEK CAPITAL IV LLC, By: /s/ John M. Eggemeyer, Name: John M. Eggemeyer, Title: President</signatureName>
        <signatureDate>2020-11-19</signatureDate>
    </ownerSignature>
</ownershipDocument>
