Bryant came up limping at the end of Sunday's loss to the New York Giants after catching what appeared to have been the game-winning touchdown in the final seconds of regulation. Bryant, who was ruled out of bounds on the play, missed practice with what is being reported as a hip injury.
Linebacker Dan Connor (neck) also missed practice after suffering the injury during the Giants game. The Cowboys signed veteran Eric Sims last week to add depth to the roster after Sean Lee's season-ending injury.
Running back DeMarco Murray missed yet another practice with a foot injury, and his status for Sunday's game against the Falcons is still uncertain. Murray has not played since Week 6 against Baltimore. Felix Jones (knee) was listed as having limited participation on Wednesday.