Cierra Burdick added 13 points, while Taber Spani and Isabelle Harrison scored 12 apiece for the Lady Volunteers (27-7), who made the NCAA regional finals for the 26th time in program history.
Harrison also hauled down eight rebounds, helping Tennessee improve to 115-23 all-time in NCAA Tournament games.
The Lady Vols now go on to face fifth-seeded Louisville in Tuesday's Oklahoma City Region final.
Sharane Campbell posted a game-high 22 points for the sixth-seeded Sooners (24-11).
Joanna McFarland helped out with 14 points and 16 boards.