EXHIBIT 23.1 CONSENT OF INDEPENDENT ACCOUNTANTS We hereby consent to the incorporation by reference in this Registration Statement on Form S-8 (No. 333- ) of PetroCorp Incorporated of our report dated March 12, 1996 appearing on page 23 of The Annual Report of PetroCorp Incorporated on Form 10-K for the year ended December 31, 1995. Price Waterhouse LLP Houston, Texas June 7, 1996