A method controls a system for supplying diesel fuel on a motor vehicle. The system includes a fuel tank, a first pump that is a low-pressure pump taking fuel from the tank and delivering the fuel to a second pump that is a high-pressure pump. The method includes controlling the first pump to regulate the quantity of fuel provided as a function of the needs of the second pump, and determining a geographical position of the vehicle. The first pump is controlled to a maximum pressure level when the vehicle is in one of several predefined probable stopping zones.