Abstract: The invention is directed to a system for supplying an internal combustion engine with fuel which includes the following components: a tank; a reservoir for fuel; a pump; a switchover valve, to which the tank, the reservoir and the pump are connected; a metering device to meter fuel to the intake air; a feed line to feed fuel from the pump to the metering device; a line into the reservoir for refilling the reservoir with a component flow of fuel pumped by the pump; and a control unit for driving the pump, the metering device and the switchover valve. The control unit is configured so that it switches the switchover valve in case of a just started engine, so that the fuel is pumped by the pump out of the reservoir into the feed line, and when the engine is warm, the switchover valve is switched so that the pump pumps fuel from the tank into the feed line.