Methods and systems are provided for closed loop operation of a high pressure fuel pump connected to the direct injectors of an internal combustion engine. During operation of the high pressure pump a dead zone may exist where a substantial change in the pump duty cycle does not correspond to a substantial change in the fuel rail pressure. To operate outside the dead zone, a relationship between the pump duty cycle and fuel rail pressure is learned upon completion of several pump and engine conditions, thereby improving high pressure pump operation and reducing pump degradation.