The Cowboys had listed the running back as questionable after he injured his knee during Tuesday’s practice.
Fullback Jamize Olawale is the only backup behind Elliott tonight.
Dallas also will play without starting safety Jeff Heath, who has injuries to both shoulders.
The Bears won’t have defensive back Prince Amukamara, who has a hamstring injury. He was doubtful.
Receiver Taylor Gabriel (concussion), tight end Eric Saubert, offensive lineman Corey Levin, offensive lineman Bobby Massie (ankle), tight end Ben Braunecker (concussion) and inside linebacker Danny Trevathan (elbow) also are inactive for the Bears.