<SEC-DOCUMENT>0001214659-20-004124.txt : 20200506
<SEC-HEADER>0001214659-20-004124.hdr.sgml : 20200506
<ACCEPTANCE-DATETIME>20200506170021
ACCESSION NUMBER:		0001214659-20-004124
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20200505
FILED AS OF DATE:		20200506
DATE AS OF CHANGE:		20200506

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			MEAD JAMES D.
		CENTRAL INDEX KEY:			0001661276

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-10542
		FILM NUMBER:		20853423

	MAIL ADDRESS:	
		STREET 1:		P.O. BOX 440
		CITY:			NEW FAIRFIELD
		STATE:			CT
		ZIP:			06812

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			UNIFI INC
		CENTRAL INDEX KEY:			0000100726
		STANDARD INDUSTRIAL CLASSIFICATION:	TEXTILE MILL PRODUCTS [2200]
		IRS NUMBER:				112165495
		STATE OF INCORPORATION:			NY
		FISCAL YEAR END:			0630

	BUSINESS ADDRESS:	
		STREET 1:		7201 WEST FRIENDLY RD
		STREET 2:		P O BOX 19109
		CITY:			GREENSBORO
		STATE:			NC
		ZIP:			27419-9109
		BUSINESS PHONE:		9192944410

	MAIL ADDRESS:	
		STREET 1:		7201 W FRIENDLY RD
		STREET 2:		PO BOX 19109
		CITY:			GREENSBORO
		STATE:			NC
		ZIP:			24719-9109

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	AUTOMATED ENVIRONMENTAL SYSTEMS INC
		DATE OF NAME CHANGE:	19720906
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>marketforms-48703.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-05-05</periodOfReport>

    <issuer>
        <issuerCik>0000100726</issuerCik>
        <issuerName>UNIFI INC</issuerName>
        <issuerTradingSymbol>UFI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001661276</rptOwnerCik>
            <rptOwnerName>MEAD JAMES D.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>P.O. BOX 440</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW FAIRFIELD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06812</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>false</isOfficer>
            <isTenPercentOwner>false</isTenPercentOwner>
            <isOther>false</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-05-05</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>false</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>4165</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>10.94</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>28846</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">The price reported in Column 4 is a weighted average price. These shares were purchased in multiple transactions at prices ranging from $10.94 to $10.99, inclusive. The reporting person undertakes 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 purchased at each separate price.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Gregory K. Sigmon, attorney-in-fact</signatureName>
        <signatureDate>2020-05-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
