The Cougars found themselves making a three-spot jump in the latest version of the AP Top 25 poll, accompanied by two other American Athletic Conference teams joining the ranks.
UH moved up to 21st in the poll after taking care of business on the road over Tulane University.
Ohio State University remains in first this week, collecting one more first place vote over last week, while Baylor University, the University of Utah and Texas Christian University rounded out the top four spots in the poll.
Louisiana State University moved up one spot in the polls this week into the top five after a win over the University of Florida in a prime-time matchup.