<SEC-DOCUMENT>0001214659-20-007792.txt : 20200911
<SEC-HEADER>0001214659-20-007792.hdr.sgml : 20200911
<ACCEPTANCE-DATETIME>20200911160513
ACCESSION NUMBER:		0001214659-20-007792
CONFORMED SUBMISSION TYPE:	4/A
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20191030
FILED AS OF DATE:		20200911
DATE AS OF CHANGE:		20200911

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Carey Albert P
		CENTRAL INDEX KEY:			0001368054

	FILING VALUES:
		FORM TYPE:		4/A
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-10542
		FILM NUMBER:		201170961

	MAIL ADDRESS:	
		STREET 1:		PEPSICO, INC.
		STREET 2:		700 ANDERSON HILL ROAD
		CITY:			PURCHASE
		STATE:			NY
		ZIP:			10577

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/A
<SEQUENCE>1
<FILENAME>marketforms-49533.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2019-10-30</periodOfReport>

    <dateOfOriginalSubmission>2019-11-01</dateOfOriginalSubmission>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001368054</rptOwnerCik>
            <rptOwnerName>Carey Albert P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>700 ANDERSON HILL ROAD</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PURCHASE</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10577</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>true</isOfficer>
            <isTenPercentOwner>false</isTenPercentOwner>
            <isOther>false</isOther>
            <officerTitle>Executive Chairman</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2019-10-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>false</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>25782</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>35363</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">As previously reported on a Form 4 filed on November 1, 2019 by the reporting person, the reporting person reported his receipt of two separate awards on October 30, 2019 for 25,782 stock units in the aggregate pursuant to the Unifi, Inc. Amended and Restated 2013 Incentive Compensation Plan (the &quot;Plan&quot;).   The issuer subsequently determined that the vesting provisions of the awards did not comply with the terms of the Plan because the stock units vested more quickly than the three-year minimum vesting period required by the Plan.  Accordingly, the issuer and the reporting person amended the vesting provisions of the awards to comply with the Plan's minimum vesting period requirement.  The reporting person is filing this amendment to report the amended vesting provisions of the awards.</footnote>
        <footnote id="F2">Represents two separate grants of restricted stock units from the issuer for services as Executive Chairman of the issuer.  Each restricted stock unit represents a right to receive one share of the issuer's common stock.  The restricted stock units included in each grant vest over a three-year period, with 25% vesting on November 29, 2020, 25% vesting on October 30, 2021 and 50% vesting on October 30, 2022.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ GREGORY K. SIGMON, attorney-in-fact</signatureName>
        <signatureDate>2020-09-11</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
