"Looks like I'll be out of the rest of @IPL at this stage! The scan showed a bit of damage, absolutely shattered!" Finch tweeted on Wednesday.
The Australian opener sustained an injury during the IPL match at Ahmedabad and was forced to retire on 10.
Mumbai Indians eventually lost the match by seven wickets for their second straight defeat in the tournament.
Finch had scored 5 and 8 in the first two matches.
Image: Mumbai Indians opener Aaron Finch gets injured during the IPL match against Rajasthan Royals.
Photograph: BCCI