A fuel pump for a direct injection internal combustion engine having a housing defining a pump chamber. Driven and idler toothed gears are rotatably mounted within the pump chamber so that the driven and idler gears are in mesh with each other at a predetermined location in the pump chamber. A fluid inlet is formed through the housing and open to an inlet subchamber in the pump chamber. A fluid outlet is also formed through the housing and open to an outlet subchamber in the pump chamber. A pressure relief passageway fluidly connects the inlet subchamber to the outlet subchamber and a valve is disposed in series with the pressure relief passageway. A control circuit controls the actuation of the valve to control the pump pressure at the pump outlet.