There is still no indication of a timetable for Rodgers' return to action. The Packers said earlier this week that Rodgers might miss the rest of the season.
The Packers must decide whether to put him on injured reserve or leave him on the active roster.
If he is placed on injured reserve, he would be sidelined for a minimum of eight weeks.
"As far as Aaron's situation, our focus clearly is just to get through the surgery and just see where he is," Packers coach Mike McCarthy said Wednesday. "I'm not personally looking in that direction. My focus is on Aaron's health right now."
This season, Rodgers has completed 128 of 193 passes (66.3 percent) for 1,385 yards with 13 touchdowns and three interceptions.
He was the NFL's Most Valuable Player in 2011 and 2014, and he led the Packers to the Super Bowl title after the 2010 season.