Houston (12-1, 7-1 American) shot 43%, including 13 of 32 on 3-pointers. The Cougars outrebounded Tulsa 52-24, and had a 26-7 advantage in second-chance points.
The Cougars won their fifth straight since falling to the Golden Hurricane 65-64 in Tulsa on Dec. 29.
Brandon Rachal scored 18 points, and Keshawn Williams added 10 points for Tulsa (8-5, 5-3). The Golden Hurricane shot 37% and were 7 of 22 on 3-pointers.
Houston used a 23-3 run over an eight-minute stretch of the first half to open up a 29-9 lead, punctuated by a 3-pointer by Sasser, who had 13 points in the stretch.