Three other Jayhawks finished in double figures -- Cheslea Gardner finished with 18 points, CeCe Harper carded 15 and Natalie Knight got 11.
Mariah Turner and Ashley Clark led Tulsa with 18 points each. Kelsee Grovey also scored 13 and Stevi Parker finished with 10.
The Golden Hurricane (4-4) fell behind 9-0 before getting their first basket from Mariah Turner three minutes into the game. TU trailed by as much as 11 points before closing to within 36-33 at halftime.
Both teams exchanged buckets at the start of the second half, with Turner getting one for TU, bringing the Golden Hurricane to within 38-35.
The Jayhawks went on a 13-2 run, but Tulsa would chisel its way back, drawing to within one point twice. The last came when Kelsee Grovey hit a jumper with 9:13 left, drawing TU to within 64-63.
But Kansas would expand on its lead again, never relinquishing it.
The Golden Hurricane shot 48 percent (30-of-63) from the field and had a big day from the free throw line, hitting with 85 percent (11-of-13) of its shots. TU would finish with 41 percent (7-of-17) from 3-point range.
The Jayhawks connected on 53 percent (30-of-57) from the floor, hit 36 percent (5-of-14) from 3-point range and 71 percent (17-of-24) from the foul line.