A simple, compact, and economical motor/pump unit for supplying vacuum to a pneumatic brake booster of a motor-vehicle brake system, wherein the motor/pump unit is designed as a diaphragm pump having a single elastomeric diaphragm, which is moved by an electrically operated motor unit by an eccentric drive, and has a pump housing and a working-space cover and the diaphragm is clamped between the pump housing and the working-space cover at the radial outer edge of the diaphragm in a sealing manner and the working-space cover is designed as a multi-part working-space cover having an upper cover, a lower cover, and an inlet valve and an outlet valve, which are arranged between the upper cover and the lower cover and control the air circulation through the working space.