"Sooner than later, absolutely," McCarthy said. "I think, No. 1, for the football team, but also Aaron Rodgers. I think it's important for us to make a quicker decision.
"This is obviously frustrating and stressful for Aaron, but also our football team. I want them to know who the quarterback is going to be."
Rodgers has missed the past seven games while recovering from a fractured collarbone. Green Bay lost on Sunday to fall to 7-7-1, but was kept in the NFC North race when the Chicago Bears were blown out Sunday night.
The two teams will meet at Soldier Field in the season finale next Sunday with the division title on the line. Matt Flynn has had his moments as Rodgers' primary replacement, but Green Bay misses its franchise star on a weekly basis.
"Aaron wants to play," McCarthy said. "He fully accepts and understands everything that is going on with his injury. This is clearly a decision for (general manager) Ted Thompson and I. I think it's important for us to make a quicker decision."
McCarthy has waited until Friday the past two weeks to make a formal announcement on Rodgers' availability. Expect a more expedited process this week.