In a game against the Golden State Warriors, Aldrige collected his 8,000th career rebound. He became the first player in the NBA to score 18,000 or more points and grab 8,000 or more rebounds since 2006. On November 7, 2019, against the Oklahoma City Thunder, Aldridge recorded a season-high 39 points in a winning effort. On June 8, 2020, the San Antonio Spurs announced that Aldridge had undergone an arthroscopic subacromial decompression and rotator cuff debridement on his right shoulder on April 24 and would miss the remainder of the 2019–20 season.