DeVito got knocked around last Sunday as the Giants were thrashed by the Buccaneers, 30-7.
He had to leave the field for one play after getting the wind knocked out of him. He also sustained an injury to his throwing arm.
DeVito did not travel with the team to Dallas on Wednesday as he underwent further examination.
The Giants said DeVito was expected to take a later flight and meet the team on the road, but the injury is thought to be serious enough to keep him out of this game.