A pump, comprising: an accommodating housing which forms an accommodating space , which is in particular cup-shaped, with a front-facing wall and a circumferential wall ; and a pump insert which is arranged in the accommodating space , wherein the pump insert comprises: - a rotor ; - a first housing part and a second housing part , between which the rotor is arranged such that it can rotate about a rotational axis (D) and relative to the first and second housing parts ; and - a stroke ring which surrounds the rotor and is arranged between the first housing part and the second housing part , wherein a first delivery chamber and a second delivery chamber are formed radially between the stroke ring and the rotor , characterised in that: a first pressure space , which is formed between the front-facing wall of the accommodating housing and the second housing part , is connected to the first delivery chamber via a first outlet channel , and a second pressure space is connected to the second delivery chamber via a second outlet channel ; a gasket which is arranged between the second housing part and the circumferential wall seals the first pressure space off from a suction space ; and a sealing element which is arranged between the second housing part and the front-facing wall surrounds the second pressure space and seals the first pressure space and the second pressure space off from each other. an accommodating housing which forms an accommodating space , which is in particular cup-shaped, with a front-facing wall and a circumferential wall ; and a pump insert which is arranged in the accommodating space , wherein the pump insert comprises: - a rotor ; - a first housing part and a second housing part , between which the rotor is arranged such that it can rotate about a rotational axis (D) and relative to the first and second housing parts ; and - a stroke ring which surrounds the rotor and is arranged between the first housing part and the second housing part , - a rotor ; - a first housing part and a second housing part , between which the rotor is arranged such that it can rotate about a rotational axis (D) and relative to the first and second housing parts ; and - a stroke ring which surrounds the rotor and is arranged between the first housing part and the second housing part , wherein a first delivery chamber and a second delivery chamber are formed radially between the stroke ring and the rotor , characterised in that: a first pressure space , which is formed between the front-facing wall of the accommodating housing and the second housing part , is connected to the first delivery chamber via a first outlet channel , and a second pressure space is connected to the second delivery chamber via a second outlet channel ; a gasket which is arranged between the second housing part and the circumferential wall seals the first pressure space off from a suction space ; and a sealing element which is arranged between the second housing part and the front-facing wall surrounds the second pressure space and seals the first pressure space and the second pressure space off from each other. a first pressure space , which is formed between the front-facing wall of the accommodating housing and the second housing part , is connected to the first delivery chamber via a first outlet channel , and a second pressure space is connected to the second delivery chamber via a second outlet channel ; a gasket which is arranged between the second housing part and the circumferential wall seals the first pressure space off from a suction space ; and a sealing element which is arranged between the second housing part and the front-facing wall surrounds the second pressure space and seals the first pressure space and the second pressure space off from each other. <EOS>