The invention relates to a fuel pump assembly for a motor vehicle, which can be upstream of a fuel pump of the motor vehicle in a fuel line of the motor vehicle, having a pump housing and a pump device arranged thereupon, by means of which fuel can be pumped into and/or through the pump housing when the pump device is in the active state thereof, wherein the pump device has at least one stroke piston pump having an inlet valve and an outlet valve which are opened and closed in alternation by pressure activation when the pump device is active. In order to provide a fuel pump assembly which enables a very energy efficient operation of a motor vehicle thereby equipped, according to the invention the inlet valve and the outlet valve are held in the open positions thereof when the pump device is inactive.