Uzoh drove the lane and laid the ball in over two Houston players with 1:13 left to give the Golden Hurricane a 72-66 advantage.
Robert McKiver hit the last of his six 3-pointers with 1:03 left to cut the deficit in half at 72-69. Jordan blocked McKiver's drive on Houston's next possession, but the Cougars got the ball back with 11 seconds left and set up another 3-point attempt by McKiver.
The shot hit the rim but didn't go in, allowing Jordan to rebound. He was fouled and made one of two free throws with 4.7 seconds left to seal the victory.
McKiver finished with 30 points and Kelvin Lewis added 11 points for Houston (24-10).
Calvin Walls had 12 for Tulsa, which had a 52-32 advantage over Houston on the boards.
Tulsa led by as many as eight in the first half before settling for a 41-36 lead at halftime.
Houston tied the game in the first minute of the second half and it was nip-and-tuck from there, with Houston's largest lead coming at 59-56 on a drive by Lewis with 10:14 left.
Tulsa went on a 7-2 run, capped by a steal and layup by Ray Reese, to regain the lead for good.