A peristaltic piston pump driven by a dedicated pump cam disposed on a camshaft of an engine. A plurality of valve-opening cams are disposed along the camshaft. The pump cam has a plurality of lobes equal in number to the number of valve cams and each pump lobe is disposed at 180 from a valve cam lobe such that the camshaft valve torque and secondary oil pump camshaft torque partially cancel, reducing overall camshaft torque oscillation. The pump includes a lost-motion shuttle and spring to permit continuous response of the pump to the cam.