OU, the No. 2 seed, will face off against No. 3 Dallas Baptist, while the No. 1 TCU Horned Frogs will battle No. 4 Oral Roberts in the first round of double elimination action.
The Sooners lost to the Dallas Baptist Patriots 3-2 earlier in the season at L. Dale Mitchell Park.
The Patriots scored all three runs in the third inning, while OU added one in the fourth and fifth but could not score again.
OU also has a history with TCU this year.
The Sooners took both regular season meetings, by scores of 13-6 and 7-4.
Tournament play begins Friday, followed by Super Regionals June 10-13.
The College World Series is set for June 18-28/29 at TD Ameritrade Park in Omaha, Neb.