37-year-old Chambers, who has been temporarily replaced as captain by George Dobson, has been unavailable for selection since breaking his foot during the opening-day victory over Plymouth Argyle, and, following an operation, has been working with the club's medical department to return to action.
Chambers' break ensured the Saddlers have been without two key central midfielders, as well as the captain and vice-captain, this season as Joe Edwards has also been sidelined with an anterior cruciate knee ligament injury picked up against Blackburn Rovers last season.
Speaking via the Express & Star, Dean, said; "Chambo is not too far away. He is nowhere near as close as Joe Edwards. It’s been a long injury for him. But hopefully he’ll be around the Christmas mark as well."