Both players initially suffered the injuries in a Week 3 win against Tampa Bay. Hester hasn't missed any game action while Douglas returned two games ago after missing four consecutive games with a deep bruise in his left foot.
"We anticipate that Devin will be out on the practice field in a limited basis tomorrow," Falcons coach Mike Smith said.
Limited Wednesday were outside linebacker/defensive end Jonathan Massaquoi and left guard Justin Blalock, both with foot injuries. Massaquoi played just six snaps in last Sunday's 27-17 win against Tampa Bay due to the injury.
Veteran offensive tackle Jonathan Scott, who joined the team a few weeks ago, but has not played in a game, continued to be sidelined with a hamstring injury.
In other news, Smith said receiver Drew Davis has a full load at practice as he continues his comeback from offseason foot surgery. Davis remains on the physically unable to perform list and could be activated at any time.