A pump for delivering fluid has a pump housing and a pump chamber having a pump chamber cover and a pump chamber base in said pump housing, an inlet and an outlet. In the pump chamber, an impeller rotates on a rotor shaft which is connected to a drive motor. The inlet is arranged in the pump chamber cover and the outlet is arranged below the impeller in the axial direction of the pump at that end region of the pump chamber which is remote from the inlet close to the outlet. The distance from the inlet to the outlet with the impeller therebetween can correspond approximately to the diameter of the pump chamber.