The 55-year-old star suffered the injury when he attempted a jump between two buildings but fell short of the mark, reported TMZ.
He then limped back to the edge of the building and was pulled away by crew members.
Meanwhile, director Christopher McQuarrie is returning for the sixth installment of the franchise, which will arrive in cinemas on July 27, 2018.
The film also stars Henry Cavill, Rebecca Ferguson, Angela Bassett and Alec Baldwin.