Rice (3-27) never overtook the Golden Eagles after the break, but Southern Mississippi couldn't shake the Owls either. The Owls got within 48-46 on two free throws by Patrick Britton with 4:02 left, but never got any closer.
Britton led Rice with 17 points, while Bryan Beasley finished with 10 points before fouling out in the final minute.
R.L. Horton scored 11 points for Southern Mississippi, and Andre Stephens added 10 points.