Fuel supply system and a method for controlling the fuel supply

A fuel supply system for supplying an internal combustion engine with fuel comprises an electric fuel pump arranged with a fuel tank. A fuel line leading to the internal combustion engine is connected with the fuel pump. A return line returning fuel toward the fuel pump is connected with the fuel line. Further, a shunt is connected with the fuel line via which a sucking jet pump arranged in the fuel tank is operated. The fuel supply system comprises a pressure control system that opens or closes the connection of the shunt to the fuel line at a first pressure and opens or closes the connection of the return line with the fuel line at a second pressure. When the pressure increases, the shunt and the return line are opened by the pressure control system, and when the pressure drops, they are closed. When the internal combustion engine is started, the fuel line is thus only connected with the internal combustion engine so that the starting procedure is accelerated whereby the electric fuel pump is supplied with sufficient power more quickly so that the fuel supply of the internal combustion engine is improved.