EXHIBIT (23) Consent of Independent Auditors We consent to the incorporation by reference in the Registration Statement (Form S-8 No. 33-23201) pertaining to the Unifi, Inc. 1982 Incentive Stock Option Plan and the 1987 Non-Qualified Stock Option Plan and the Registration Statement (Form S-8 No. 33-53799) pertaining to the Unifi, Inc. 1992 Incentive Stock Option Plan and Unifi Spun Yarns, Inc. 1992 Employee Stock Option Plan, and the Registration Statement (Form S-8 No. 333-35001) pertaining to the Unifi, Inc. 1996 Incentive Stock Option Plan and the Unifi, Inc. 1996 Non-Qualified Stock Option Plan and the Registration Statement (Form S-8 No. 333-43158) pertaining to the Unifi, Inc. 1999 Long-Term Incentive Plan of our report dated July 19, 2002, with respect to the consolidated financial statements and schedule of Unifi, Inc. included in this Annual Report (Form 10-K) for the year ended June 30, 2002. Greensboro, North Carolina September 23, 2002