The operation, performed in Birmingham, Ala., by noted surgeon James Andrews, ended Bradford's collegiate career. In announcing last weekend that he would have the surgery, Bradford also said he would pass up his final year of eligibility and make himself available for the NFL draft.
"The report we got was that everything went about as well as it could and obviously we're very happy for Sam and his family," Stoops said. "We look forward to getting him back in Norman so that we can assist with his recovery and rehabilitation."
Bradford, who won the 2008 Heisman Trophy, was injured in the opening game this season and missed three contests after that. He returned Oct. 10, but suffered a more serious shoulder injury against Texas a week later.
NFL scouts have suggested Bradford will be among the first 10 players chosen in the draft. He holds the Oklahoma records for career yards (8,403) and touchdown passes (88).