A syringe for a fluid delivery system includes a pressure jacket having a distal end, a proximal end, and a throughbore therebetween. The syringe further includes a rolling diaphragm having a proximal end with an end wall for engaging a plunger, a distal end received within the throughbore of the pressure jacket. A sidewall extends between the proximal end and the distal end of the rolling diaphragm along a longitudinal axis. At least a portion of one of the sidewall and the end wall has non-uniform thickness. At least a portion of the sidewall is flexible and rolls upon itself when acted upon by the plunger such that an outer surface of the sidewall at a folding region is folded in a radially inward direction as the plunger is advanced from the proximal end to the distal end of the rolling diaphragm.