Jones, who has battled some knee and leg issues, did not participate in Tuesday's practice. White continues to recover from a high-ankle sprain.
Running back Steven Jackson, who has been sidelined with a hamstring injury, was on the field in shorts observing his teammates but did not have a helmet. Linebacker Paul Worrilow did the same as he recovers from a knee injury suffered last Sunday.
Not present on the field were cornerback Asante Samuel (thigh), left tackle Sam Baker (knee), and linebacker Akeem Dent (ankle). Dent was spotted wearing a walking boot on his right foot while inside the locker room.
The Falcons will release their initial injury report of the week later.