The reports says that the team is hoping that the injury is not serious and won't require surgery.
Anthony had been playing with pain almost the entire postseason and was hurt in Game 5 of the first-round playoff series against the Boston Celtics when Kevin Garnett pulled his arm trying to set a screen.
Anthony also had been dealing with a knee injury and had fluid drained from his right knee two months ago. The report says he won't need surgery on the knee.
More from the Daily News:
Anthony originally injured his shoulder during an April 14th win over the Indiana Pacers. When the Knicks eliminated Boston in Game 6, Anthony reported that his left arm "popped in and out."
He refused to use the injury as an excuse even though Anthony, the NBA's scoring champion, struggled to make shots. In the Knicks second round series loss to the Pacers, Anthony made 65 of 150 shots including 39 points on 15 for 29 shooting in Game 6.