In connection with a flow pump, particularly for the conveying of fuel from a fuel tank of a motor vehicle, with a pump chamber embodied in a pump housing which is bordered by two radially extending lateral walls (12), spaced apart from each other, and a peripheral wall, connecting the lateral walls (12) along their periphery with each other, with at least one groove like lateral channel (20) disposed in one of the lateral walls (12), open toward the pump chamber, which extends, related to the flow direction in the lateral channel (200, concentrically in relation to the pump axis (22), with an interrupting strip (35), remaining between a lateral channel end (202) and a lateral channel start (201), and having a rotating impeller wheel disposed in the pump chamber, a damping groove (36), open in the direction toward the pump chamber, has been cut into the interrupting strip (35) near the lateral channel end (202), which approximately extends over the width of the lateral channel, for reducing the locally very high pressure amplitudes of the impeller frequency vibration (FIG. 5).