A pumping device may include a pump housing partially delimiting a working chamber, and a piston arranged therein, axially movable between first and second positions in which the working chamber has maximum and minimum volumes, respectively. The pumping device may include first and second fluid lines for introducing and discharging fluid to/from the working chamber, respectively. The first fluid line may be fluidically connected to the working chamber via a breakthrough formed in the pump housing at an end face of the working chamber opposite the piston, running transversely to the axial direction at least in the area of the breakthrough. The second fluid line may open obliquely into the working chamber in an area of the second position, relative to the axial direction in an end face delimiting the working chamber towards the first fluid line.