Bitonio is expected to be recovered by the time offsfeason workouts begin next spring, according to the report.
The Browns have yet to provide an update about the surgery.
Bitonio said Friday he would see foot and ankle specialist Dr. Robert Andersen this week in Charlotte, N.C., to determine if he had a Lisfranc injury and whether he needed surgery.
The Browns have expected Bitonio to miss the rest of this season since he suffered the right foot injury Oct. 9 in a 33-13 loss to the New England Patriots. They put him on injured reserve Friday.