A pump arrangement (1) at least comprising a pump (2) having a pressure side (3) and an intake side (4) and a drive unit (5) for the pump (2) which are arranged in a common housing (6), wherein the drive unit (5) is an axial flow electric drive which comprises a stator (7) which is connected to the housing (6) in a rotationally secure manner and a rotor (8) which is arranged so as to be able to be rotated with respect to the housing (6), wherein the rotor (8) is arranged with a first end face (9) opposite the stator (7) in an axial direction (10) and forms an outer conveying means (11) of the pump (2) and has with spacing from the first end face (9) on an inner circumferential face (12) a first conveying profile (13), wherein in a radial direction (14) inside the rotor (8) there is arranged an inner conveying means (15) of the pump (2) which has on an outer circumferential face (16) a second conveying profile (17) which cooperates with the first conveying profile (13) in order to convey a fluid (18).