Rodgers broke his right clavicle Oct. 15 and underwent a surgical repair.
"He's trial return," coach Mike McCarthy said Monday. "Just like everybody. I go through this every time a player comes off an injury. You either go down and you're in the rehab group, and then once you get out of the rehab group, you're trial return, so you're limited reps in the practice."
McCarthy stressed that Rodgers has not been medically cleared for a full return and won't be this week.
"That's why we call it trial return because he's not cut loose for a full practice," McCarthy said. "The medical clearance won't be [an option] until next week."
McCarthy said Rodgers is practicing even though he can't play Sunday against the winless Browns.
"Obviously, scout-team work is something that he will do," McCarthy said. "Obviously, the drill work. It's important for him to feel the pass rush and get acclimated. We won't be in pads on Wednesday, but it will be a padded practice on Thursday, so you have to make sure you identify exactly what you want to get done there."
Rodgers is eligible under the league's designated to return rules for the Packers' Dec. 17 game against the Panthers. He still would need medical clearance to formally return to play, but his scout team work this week will serve as the next step before a full return to practice next week.
The Packers' first practice this week is Wednesday.
ESPN's Rob Demovsky contributed to this report.