EXHIBIT 23 INDEPENDENT AUDITORS' CONSENT We consent to the incorporation by reference in Registration Statement No. 33-64215 and Amendment No. 1 thereto of Sears Roebuck Acceptance Corp. on Form S-3 of our report dated January 19, 1996, appearing in this Annual Report on Form 10-K of Sears Roebuck Acceptance Corp. for the year ended December 31, 1995. DELOITTE & TOUCHE LLP Philadelphia, Pennsylvania March 27, 1996