The Wizards said the operation was performed to repair the labrum and damaged cartilage in his hip. He has not played in a game this season.
Webster has a history of injuries. He signed a four-year contract with the Wizards in 2013 and had surgery to repair a herniated disc in his lower back in June 2014. He played in only 32 games last season as a result, averaging 3.3 points.
Webster, who turns 29 next month, was the sixth overall pick in the 2005 NBA draft. His best season was 2012-2013, when he played in 76 games and averaged 11.4 points for the Wizards.