Jones sat out last Sunday's 31-17 win over the Panthers due to the injury, which he suffered during a Week 5 loss to the Packers.
The Falcons made a bold trade in April's draft, sending five draft picks to Cleveland in order to move up and grab the gifted wide receiver with the sixth overall selection.
Jones, listed at 6-foot-3, 220-pounds, has 25 receptions for 358 yards in five games this season. The Alabama product has yet to score but has two 100-plus yard receiving games.
Additionally, the Falcons listed cornerback Chris Owens (concussion) as out; defensive end John Abraham (groin), center Todd McClure (knee) and guard Garrett Reynolds (ankle) as questionable and safety James Sanders (hamstring) and wide receiver Roddy White (knee) as probable.