A pump device for pumping a fluid, comprising a hydraulic housing (2), a pump ring support (5) which is arranged in the hydraulic housing (2), an elastic pump ring (3) which is arranged between the pump ring support (5) and the hydraulic housing (2) in the radial direction (RR), and a separating chamber pin (4), wherein the pump ring (3) can be pressed in the radial direction (RR) against an inner wall surface of the hydraulic housing (2) by means of the separating chamber pin (4) in order to produce an at least local seal on the hydraulic housing (2), and wherein the hydraulic housing (2) has a radial offset section (6), along which an offset element that is formed on the separating chamber pin (4) or a separate offset element that interacts with the separating chamber pin (4) can be introduced in the axial direction (AR) and thus offsets the separating chamber pin (4) and the pump ring (3) in the radial direction.