He was injured in Wednesday night's victory at Boston. Team officials made the announcement Thursday and said Turner is consulting with the medical staff about what to do next.
The 19-year-old Turner was No. 11 overall selection in June's draft. He averaged 6.1 points and 2.9 rebounds in 15.9 minutes during his first eight games.
Indiana (5-4) has won four of five games since starting 0-3 and hosts Minnesota on Friday.