Shamsid-Deen, who will undergo surgery on both shoulders, has battled through the injuries since early in the season.
Tigers coach Bruce Pearl said Shamsid-Deen suffered his "fifth or sixth dislocation" during Tuesday night's loss to Arkansas.
Over 23 games this season, Shamsid-Deen averaged 6.1 points and 1.1 rebounds in 23.2 minutes per game.
"It got to the point to decide whether or not he should go for loose ball or not, whether he could set a screen or not, whether he should reach and give help and whether he should strip and rip," Pearl said."We don't want there to be any more damage. He's been a real warrior battling through a lot of pain."