The procedure was performed on April 24.
Aldridge initially injured the shoulder during a game against Utah on Feb. 21. He played in the Spurs' next game, then went on to miss the next six.
Aldridge returned in San Antonio's win against Dallas the day before the NBA suspended the season because of the coronavirus pandemic.
The Spurs are one of the 22 teams set to participate in the NBA's regular-season resumption in Orlando, Florida.
Aldridge, a seven-time All-Star, averaged 18.9 points and 7.4 rebounds in 33.1 minutes per game this season.
The Spurs said that Aldridge, who is due $24 million next year, is expected to be fully cleared for all basketball activities before the start of training camp next season.