A pump unit has an inlet valve, an outlet valve, a supply line for supplying fuel, a pumping chamber, and a plunger for pressurizing fuel in the pumping chamber. The inlet valve includes an inlet valve member movable between a first position and a second position. The inlet valve member has an aperture formed therein. The aperture provides a first fluid pathway between the pumping chamber and the supply line when the inlet valve member is in its first position, and the aperture provides a second fluid pathway between the pumping chamber and the outlet valve when the inlet valve member is in its second position.