Daniels is expected to be out for four to six weeks but should be able to participate in seven-on-seven drills and noncontact spring practices.
The Bulls are tentatively scheduled to begin spring practice March 16.
"As much as we would love for him to participate fully in spring practice, our No. 1 objective is to make sure he has a complete and healthy recovery," new Bulls coach Skip Holtz said in a statement. "I'm sure he wants to be out there going full bore with his teammates on a daily basis, but his participation in meetings and in practice will be very beneficial to his progress as a quarterback."
The surgery was needed to repair a partial rotator cuff tear that occurred during the Nov. 21 Louisville game.
Daniels had been undergoing rehab work since the season ended until the team medical staff decided surgery was needed.
Daniels threw for 1,983 yards and 14 touchdowns while rushing for 772 yards and nine TDs as a redshirt freshman in 2009.
He took over as the starter after senior Matt Grothe suffered a season-ending knee injury in the third game.
Brian Bennett covers Big East football for ESPN.com.