EXHIBIT (10p)

                        DEFERRAL AGREEMENT



     THIS DEFERRAL AGREEMENT ("Agreement"), effective the 21st day of November,
1997, between Unifi, Inc., a New York Corporation, ("Unifi"), and William T.
Kretzer (hereinafter referred to a the "Executive"); 

                      W I T N E S S E T H :

     WHEREAS, the Executive is the President and Chief Executive Officer as well
as Chairman of the Executive Committee of Unifi; and,
     WHEREAS, the Executive was granted stock options to purchase 163,668 shares
of Unifi Common stock at an option price of $4.80 per share (as adjusted for
stock splits and stock dividends) on January 21, 1988 (the "Stock Option") under
the Unifi, Inc. 1982 Incentive Stock Option Plan ("ISOP"); and,
     WHEREAS, the exercise of the Stock Option would result in the Executive
recognizing taxable compensation; and,
     WHEREAS, the Executive and Unifi desire to enter into this Deferral
Agreement to defer such taxable compensation as provided herein.
     NOW THEREFORE, in consideration of the mutual covenants and promises
hereinafter set forth, it is agreed as follows:
          1.   DEFERRAL.  Pursuant to the second paragraph of Section 3 of
               his Incentive Stock Option Agreement dated January 21, 1988
               with Unifi as amended effective November 21, 1997 ("ISOP"
               Agreement), the Executive will tender on or before January 20,
               1998, to Unifi such number of his previously acquired
               outstanding shares of Unifi common stock that has been held
               for at least six (6) months and that has a fair market value
               equal to the exercise price of the Stock Option in exchange
               for an equivalent number of shares of Unifi common stock (the
               "Exchange Shares") and the right to receive 163,668 shares less
               the amount of Exchange Shares of Unifi common stock in the
               future ("Deferral Shares") under the terms of this Agreement. 
               Unifi shall issue the Deferral Shares to the Trustee of the
               Unifi, Inc. Trust for Deferred Compensation Arrangements
               ("Trust").
          2.   INCOME ON SHARES.  Any and all dividends paid on the Deferral
               Shares shall be held as additional deferral compensation for
               the Executive's account and distributed as provided in
               paragraph 3 hereof.  Additionally, as of each January 1st and
               July 1st until all accumulated dividends are fully and finally
               paid out, Unifi shall pay to the Trust as additional deferral
               compensation for  the Executive, interest on any accumulated
               dividends as heretofore provided in such amounts after
               considering the income generated by the Trusts on said
               accumulated dividends as is necessary to provide a rate of
               return equal to the Prime Rate as hereinafter described for
               the last business day preceding the applicable January 1st and
               July 1st plus three (3) percentage points (such sum being
               referred to as the "Interest Factor"), multiplied by the
               balance of said accumulated dividends, including the amount of
               Interest previously credited on such accumulated dividends as
               of the previous day (i.e., December 31st or June 30th).  Said
               accumulated dividends and the interest thereon are hereafter
               referred to herein as "Accumulated Dividends".
                    The term "Prime Rate" used in this Agreement shall be the
               base rate on the Corporate loans posted by at least seventy-
               five (75%) percent of the nation's thirty (30) largest banks
               as reported in the Wall Street Journal or, if no longer
               published, a similar publication for the last business day
               preceding the applicable January 1st and July 1st.
          3.   DEFERRAL PERIOD.  Ten (10) years from the date hereof the
               Executive or his designated beneficiary, if the Executive
               should die before the expiration of said ten (10) year period,
               will be entitled to receive the Deferral Shares and
               Accumulated Income in the form of equal annual distributions
               over a period of five (5) years.
          4.   DEATH OF EXECUTIVE.  If the Executive should die prior to the
               time that all of his Deferral Shares and Accumulated Dividends
               (cumulatively referred to as "Deferral Compensation") have been
               completely distributed to him, the Executive's designated
               beneficiary will be entitled to receive the amount he was
               entitled to receive under paragraph 3 in the manner specified
               therein.
          5.   BENEFICIARIES.   The Executive shall have the right at any
               time to name any person or persons (including his estate or
               any trust) as his beneficiary hereunder by filing written
               notice with the Compensation Committee.  The Executive's last
               written designation to the Compensation Committee shall be
               deemed his last designated beneficiary.  The Executive may
               name a contingent beneficiary or beneficiaries to receive
               payment in the event of the death of his primary beneficiary. 
               If the Executive has not designated a beneficiary or his
               designated beneficiary is not alive when payments are due
               hereunder, the Executive's designated beneficiary shall be
               deemed his estate.  All designations of the Executive's
               beneficiary shall not be effective unless countersigned by a
               member of the Compensation Committee.
          6.   ASSIGNMENT.  Except as specifically provided in paragraph 5
               herein, relating to the designation of a beneficiary, neither
               the Executive nor his designated beneficiary may assign,
               transfer, pledge, encumber, or hypothecate this Agreement, or
               any rights hereunder, or any part hereof (whether by operation
               of law or otherwise), and this Agreement shall not be subject
               to the execution, attachment, or similar proceeding.  Any
               attempted assignment, transfer, pledge, encumbrance,
               hypothecation, or other disposition of this agreement,
               contrary to the provisions hereof, and the levy of any
               attachment or similar proceedings upon this Agreement, shall
               be null and void and without effect.
          7.   NO VESTED BENEFIT.  Nothing contained herein shall be deemed
               to give the Executive any vested interest in any specific
               assets of Unifi and no benefits to which the Executive or his
               beneficiary is entitled hereunder shall give the Executive any
               greater right to receive payment from Unifi than the right of
               an unsecured general creditor of Unifi.
          8.   TERMINATION BY BOARD.  The Board of Directors ("Board") of
               Unifi, excluding the Executive if he is a member of the Board,
               may at any time, in its sole discretion, terminate this
               agreement and distribute to the Executive the balance of his
               Deferral Compensation at one time.
          9.   ENTIRE AGREEMENT.  This Agreement constitutes the entire
               agreement between the Executive and Unifi, and may not be
               altered, modified, amended, or rescinded except in writing,
               signed by the parties hereto.  It is further understood that
               this Agreement shall inure to the benefit of the parties,
               their successors or assigns.
          10.  GOVERNING LAW.  This Agreement, and the interpretation
               thereof, shall be governed by the laws of the State of North
               Carolina and shall be deemed to have been made in the State of
               North Carolina.
     IN WITNESS WHEREOF, the parties have executed this Agreement, on the day
and year first above written.

                                   UNIFI, INC.

____________11/21/97____________        By:_________Willis C. Moore, III___
Date                                    Willis C. Moore, III
                                         Senior Vice-President and 
                                         Chief Financial Officer


____________11/21/97_____________       _________William T. Kretzer________
Date                                    William T. Kretzer