The discharge valve arrangement (17) includes a valve plate (18) including a discharge passage (22) and a valve seat (23) surrounding the discharge passage (22); a valve housing (24) being secured to the valve plate (18) and including a bottom portion (25) facing away from the valve plate (18), a sidewall (26) extending from the bottom portion (25) and towards the valve plate (18), and a discharge opening (28) formed in the sidewall (26); a valve member (31) displaceable between a closed position in which the valve member (31) closes the discharge passage (22) and an open position in which the valve member (31) opens the discharge passage (22). The valve housing (24) includes a gas damping chamber defined by the bottom portion (25) and the sidewall (26) and being configured to accommodate the valve member (31) in the open position; and an exhaust opening (37) formed in the bottom portion (25) and emerging in the gas damping chamber.