The No. 21 Cougars go into Cincinnati winners of five-straight games, and 11 of the last 12, to take on the 13-7 Bearcats on Saturday afternoon at the Fifth Third Arena.
Houston is 17-4 on the season and 7-1 in conference play, which is a half-game ahead of Tulsa for the top spot in The American.
Senior center Chirs Harris Jr. is coming off his second double-double of the campaign. He posted 10 points, 10 rebounds and added four blocks against East Carolina.
Redshirt freshman Caleb Mills had solidified his spot as the top scorer on the team with an 18-point performance against the Pirates.