Wide receiver Kevin Cone, guard Garrett Reynolds and linebacker Sean Weatherspoon all did not practice Thursday.
Cone is battling a groin injury, while Garrett is dealing with a back problem and Weatherspoon is being treated for a low ankle sprain.
Weatherspoon was hurt when he attempted a tackle against Eagles running back LeSean McCoy late in Sunday's game. The 24-year-old has 40 tackles and three sacks in seven games with the Falcons this season. The first-round draft pick has appeared in 28 games in three seasons with Atlanta.
Wide receivers Harry Douglas and Roddy White fully practiced on Thursday. Both were limited on Wednesday. Douglas has an ankle/knee injury while White is suffering from a back injury.
Defensive tackle Jonathan Babineaux, kicker Matt Bryant and wide receiver Drew Davis were all limited in practice Thursday.
The perfect Falcons (7-0) host the Cowboys (3-4) on Sunday at 8:20 p.m. ET.