Browns coach Eric Mangini confirmed Rogers will be placed on injured reserve during his press conference on Monday. He didn't reveal the nature of the injury, but said it will require surgery.
Rogers was injured when teammate C.J. Mosley was blocked into him during a running play. Rogers was down on his back for several minutes after the pileup. He was taken off the field on a cart, with teammates coming over to offer him encouragement.
Rogers is the team's third starting defensive player to go on IR this season. The Browns previously lost starting inside linebackers D'Qwell Jackson and Eric Barton to season-ending injuries.
"It's tough," said linebacker David Bowens, who has had to shift from outside to inside linebacker. "But the games still have to be played."
The Associated Press contributed to this report