An aggregate for feeding fuel from a supply tank to an internal combustion engine of a motor vehicle has a feeding pump having two end walls forming a pump chamber with a suction opening and a pressure opening and a feed element rotatable in the pump chamber so as to supply fuel from the suction opening to the pressure opening. At least one of the end walls is provided with a groove-shaped unloading passage in a region between an end surface of the feeding element and a sealing surface of the one end wall and communicating through a further opening the pump chamber with a low pressure region. The suction opening has an end facing in a rotary direction of the feeding element. The unloading passage is located near the end of the suction opening.