A delivery device for delivering a medium in a vehicle and for limiting a system pressure of the delivery device includes a vehicle pump, which is driven by an electric motor. The electric motor is controlled by a controller, the controller being configured to detect an actual rotational speed of the electric motor and an actual operating current of the electric motor. If the actual operating current of the electric motor exceeds a predefined operating current limit value, the controller is configured to generate a first signal relating to a system pressure being exceeded. The predefined operating current limit value is dependent on the actual rotational speed of the electric motor.