A thickness control system for a high speed tortilla sheeting machine can adjust a pinch point gap between a pair of sheeting rollers to maintain a generally uniform thickness of the produced “masa” (i.e., corn dough) sheet. The sheeting machine can include a pinch point gap adjustment device which guides at least one of the rollers through an arcuate path to thereby adjust a magnitude of the pinch point gap. The controller can direct one or more actuators to change the position of the roller along the archive path to thereby change the distance between the two sheeting rollers as desired to produce a masa sheet at the desired preset thickness.