<SEC-DOCUMENT>0001214659-20-009075.txt : 20201102
<SEC-HEADER>0001214659-20-009075.hdr.sgml : 20201102
<ACCEPTANCE-DATETIME>20201102162504
ACCESSION NUMBER:		0001214659-20-009075
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20201030
FILED AS OF DATE:		20201102
DATE AS OF CHANGE:		20201102

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			CAUDLE THOMAS H JR
		CENTRAL INDEX KEY:			0001289898

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-10542
		FILM NUMBER:		201280765

	MAIL ADDRESS:	
		STREET 1:		9116 GREAT MEADOWS DRIVE
		CITY:			CLEMMONS
		STATE:			NC
		ZIP:			27012

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-49958.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-10-30</periodOfReport>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001289898</rptOwnerCik>
            <rptOwnerName>CAUDLE THOMAS H JR</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>9116 GREAT MEADOWS DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CLEMMONS</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>27012</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>true</isOfficer>
            <isTenPercentOwner>false</isTenPercentOwner>
            <isOther>false</isOther>
            <officerTitle>President &amp; COO</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-10-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>false</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1311</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>14.80</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>106338</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Represents shares withheld to satisfy the reporting person's tax withholding obligations in connection with the reporting person's receipt of shares of the issuer's common stock upon the second vesting date of the grant of restricted stock units reported on the reporting person's Statement of Changes in Beneficial Ownership of Securities on Form 4 filed with the Securities and Exchange Commission on November 1, 2018.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Gregory K. Sigmon, attorney-in-fact</signatureName>
        <signatureDate>2020-11-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
