Physio Dave Watson told the club website: "The operation will basically clean it out and try to repair a little split in the tendon."
This will leave him out for a minimum of 6 weeks.
Meanwhile ahead of the Crewe game John Eustace played a part in City's reserve side draw against Barsnley today (1-1) at the Lyme Valley Stadium and he could well make his first team return. However Ed De Goey, Marcus Hall, John Halls and Carl Asaba are all waiting to find out if they will be fit enough to play.