Trailing 64-62, Houston Baptist went on a 7-0 run, highlighted by Odunsi's 3-pointer, to take a 69-64 lead. Houston Baptist made all eight of its free throws in the final minute, with six from Odunsi.
Odunsi made two free throws with 53.4 seconds left for a 71-68 lead. Marcus Evans made a contested layup to make it 71-70 and, after four free throws by Houston Baptist, hit a 3-pointer from straight away for 75-73 with 1.9 left. Odunsi sealed it at the line.
Marcus Evans led Rice (2-6) with 28 points and Egor Koulechov added 21.