The winner of the best-of-three series advances to the College World Series in Omaha, Nebraska.
South Carolina (46-16) won the Columbia Regional with a 10-5victory against UNC-Wilmington on Tuesday, completing a run through the loser's bracket for the Gamecocks after they lost their opening game of the regional.
Had the Seahawks won, Allie P. Reynolds Stadium in Stillwater would have hosted them in the Super Regional.
The Cowboys (39-20) went undefeated in the Clemson Regional, downing No. 7 national seed Clemson twice with dominant pitching and unrelenting offense.
The opening two games of the Super Regional will be at 2 p.