The team says Webster's operation, in Tennessee on Friday, repaired the labrum and damaged cartilage in his hip.
He has not appeared in a game this season because of the injury.
Webster, who signed a four-year contract with the Wizards in 2013, had surgery to repair a herniated disc in his lower back in June 2014 and appeared in only 32 games last season.
A first-round draft pick in 2005, Webster has averaged 8.7 points and 3.1 rebounds for his career. He turns 29 next month.