1 ITEM 14(a)3,EXHIBIT 23(a) INDEPENDENT AUDITORS' CONSENT Board of Directors and Stockholders Tesoro Petroleum Corporation We consent to the incorporation by reference in Registration Statement No. 33-53293 of Tesoro Petroleum Corporation on Form S-8 of our report dated February 2, 1996, (February 20, 1996 as to Notes B and N), appearing in this Annual Report on Form 10-K of Tesoro Petroleum Corporation for the year ended December 31, 1995. DELOITTE & TOUCHE LLP San Antonio, Texas March 22, 1996