A device for the extracorporeal oxygenation of the blood of a patient, comprising a containment casing which has at least an inlet port of the venous blood and at least an outlet port of the arterial blood, at least an inlet channel and at least an outlet channel of a work gas intended to provide oxygen to blood and/or to remove CO2 from the same, at least a bundle of hollow fibres arranged within the casing and placed between the inlet channel and the outlet channel, the hollow fibres being in communication with the inlet and outlet channels and being intended to be crossed by the relative work gas, at least a first and at least a second filtering elements arranged inside the bundle of hollow fibres and spaced apart the one from the other, the filtering elements being able to trap any air bubbles present in the treated blood, where the first and second filtering elements define a relative open profile and where the hollow fibres cross the first and second filtering elements uninterruptedly.