Jones was injured in last weekend's loss at New Orleans.
Coach Mike Smith did not say which ankle is bothering Jones.
Linebacker Sean Weatherspoon is rehabbing a sprained right ankle and hopes to avoid missing his third straight game.
Defensive end John Abraham (back), defensive tackle Jonathan Babineaux (thigh), receiver Harry Douglas (ankle), tight end Tony Gonzalez (shoulder), linebacker Stephen Nicholas (groin), running back Michael Turner (groin) and defensive tackle Vance Walker (ribs) were all limited in practice.
Atlanta (8-1) hosts Arizona (4-5) on Sunday.