The Detroit Lions defensive tackle, though, will be able to play Sunday at home against the Indianapolis Colts.
NFL spokesman Greg Aiello tweeted Monday that the Lions have been notified that Suh won't be suspended for last Thursday's "incident," though it will be reviewed for a potential fine.
Suh was on his chest after being taken down by an offensive lineman and extended his left foot to hit Schaub below the belt. Suh's left cleat connected with Schaub's groin area after he threw a pass in the first quarter of Houston's 34-31 overtime win.
Schaub went to his knees, doubled over in pain, but stayed in the game.
It wasn't clear on replays Thursday whether it was intentional and Suh hasn't spoken publicly.
Texans linebacker Connor Barwin said he did not think Suh should have been suspended.
"I didn't think it was malicious, or a really violent thing, but it was definitely unnecessary," Barwin said Monday. "Just a little something extra at the end."
Suh was suspended for two games a year ago after he was ejected for stomping on the right arm of Green Bay offensive lineman Evan Dietrich-Smith during a game on Thanksgiving. He has been fined in previous seasons for roughing up quarterbacks: Cincinnati's Andy Dalton, Chicago's Jay Cutler and Cleveland's Jake Delhomme.
"He's building quite a track record of just unnecessary plays," Texans left tackle Duane Brown said. "I consider him to be a very talented player, a very physical player. There's just stuff that you have to do away with. It can get people hurt and it's uncalled for.
"It's our job up front to keep him away from our quarterback. But if our quarterback is able to get rid of the ball, he should be protected from that point on. He can't take kicks to the groin, he can't be pulled down two seconds after the ball is gone. It's nonsense."