Broad has already been withdrawn from the Notts squad to face Yorkshire in the County Championship on Tuesday.
The 30-year-old only bowled two overs and made 11 with the bat in their T20 Blast semi-final defeat by Northants on Saturday.
Nottinghamshire are bottom of the Championship, 14 points adrift of safety with four games to play.
Nottinghamshire and England pace bowler Stuart Broad is to have a scan on his injured left ankle.