Anthony will sit out Tuesday night's game against the Brooklyn Nets and Wednesday's finale against the Toronto Raptors.
The team said that surgery will not be necessary at this time and he will be re-evaluated in about a month. Anthony suffered the right shoulder injury April 2, but continued to play in the team's next four games.
Anthony suffered a similar type of injury last season in his other shoulder.
Anthony had an outstanding season for the Knicks, averaging 27.4 points, a career-high 8.1 rebounds and 3.2 assists for the Knicks, who were eliminated from playoff contention last week, a season after winning 54 games.
Anthony can opt out of his contract this summer. If he re-signs with the Knicks, the team can pay him $129 million over five years. If he signs with another team, he can sign a maximum deal worth $95.8 million over four seasons. GOLLIVER: San Antonio, Indiana hold top seeds as 2014 NBA playoffs field is set