The Cougars, who are 18-11 for the season and 7-9 in conference play will face an Owls team that is 5-25 for the season and 1-15 in conference.
The Owls lone win came against the Cougars by the score of 79-69 on Jan. 30 on their home court.
Houston won the second match-up at Hofheinz Pavilion by the score of 84-62 on March 6 and is riding a three-game winning streak going into Wednesday night’s game.
Thomas was named to the All-Conference USA First Team while House earned third-team honors.
In addition, House was also named Conference USA Freshman of the Year for 2012-13.
The Conference USA tournament is being played at the BOK Center in Tulsa.
All games in tournament can be followed at the Conference USA site by clicking here.