An integrated centrifugal blood pump-oxygenator (1) which has a housing (2) with a top (3) having a blood inlet (4), a blood outlet (5) and a gas inlet (6), and a bottom (7) having a rotational body (8) being rotatably arranged in a rotor-housing (9) of the bottom (7). The integrated centrifugal blood pump-oxygenator (1) further has an oxygenator membrane (10) provided in an interior (11) of the housing (2), wherein in the operation state oxygen (12) is transferred from the gas inlet (6) through the oxygenator membrane (10) to a gas outlet (13) and blood (14) is brought in direct contact with the oxygenator membrane (10) by pumping the blood (14) with the rotational body (8) from the blood inlet (4) to the blood outlet (5). The rotational body (8) is magnetically journalled in a contact-free manner with respect to the rotor-housing (9). There is an extracorporeal life support system (1000), and a method of de-bubbling and priming a extracorporeal life support system (1000).