Unifi (UFI) 10-Q 2003 Q2 Quarterly report

EXHIBIT (99b)

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,
AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Unifi, Inc. (the “Company”) Quarterly Report on Form 10-Q for the period ended December 29, 2002 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Willis C. Moore, III, Chief Financial Officer of the Company, certify pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1)	The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and
(2)	The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: February 10, 2003 By: /s/ WILLIS C. MOORE, III
Willis C. Moore, III
Executive Vice President and Chief Financial Officer

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