Motor-pump unit for conveying a fluid, comprising a pump base (3; 3'), a first pump rotor which is rotatably mounted with respect to a first axis (X) and is rotatably coupled to the rotor of an electric motor , the stator of which is fixed relative to the pump base (3; 3'), and a second pump rotor which is rotatable about a second axis (Y) which intersects the first axis (X) at a non-zero angle at an axis intersection point (M), wherein - the two pump rotors have mutually meshing toothings with a number of teeth differing by one from one another in such a way that chambers enclosed between the two toothings increase or decrease in volume as the two pump rotors rotate about the respective axis (X, Y), - the first pump rotor has, radially outside the associated toothing , a collar with an inner wall which is spherical with respect to the axis intersection point (M) and against which the second pump rotor bears with a corresponding, spherically shaped outer surface in such a way that the chambers are bounded radially on the outside by the spherical inner wall of the collar , - the second pump rotor has, radially inside the associated toothing , a dome-shaped region with an outer wall which is spherical with respect to the axis intersection point (M) and against which the first pump rotor bears with a corresponding, spherically shaped inner surface in such a way that the chambers are bounded radially on the inside by the spherical outer wall of the dome-shaped region , characterized in that - the end face of the second pump rotor facing away from the associated toothing is designed as a sliding surface , by means of which the second pump rotor is supported on a support surface designed on the pump base (3; 3') perpendicular to the second axis (Y), - the second pump rotor has a number of fluid openings corresponding to the number of teeth of its toothing , which open into a respective tooth space, and - two separate recesses are provided on the support surface , which communicate fluidically with different fluid connections (30, 31; 30', 31') on the motor-pump unit. - the two pump rotors have mutually meshing toothings with a number of teeth differing by one from one another in such a way that chambers enclosed between the two toothings increase or decrease in volume as the two pump rotors rotate about the respective axis (X, Y), - the first pump rotor has, radially outside the associated toothing , a collar with an inner wall which is spherical with respect to the axis intersection point (M) and against which the second pump rotor bears with a corresponding, spherically shaped outer surface in such a way that the chambers are bounded radially on the outside by the spherical inner wall of the collar , - the second pump rotor has, radially inside the associated toothing , a dome-shaped region with an outer wall which is spherical with respect to the axis intersection point (M) and against which the first pump rotor bears with a corresponding, spherically shaped inner surface in such a way that the chambers are bounded radially on the inside by the spherical outer wall of the dome-shaped region , - the end face of the second pump rotor facing away from the associated toothing is designed as a sliding surface , by means of which the second pump rotor is supported on a support surface designed on the pump base (3; 3') perpendicular to the second axis (Y), - the second pump rotor has a number of fluid openings corresponding to the number of teeth of its toothing , which open into a respective tooth space, and - two separate recesses are provided on the support surface , which communicate fluidically with different fluid connections (30, 31; 30', 31') on the motor-pump unit. <EOS>