The invention relates to a medical removal unit (1) for blood, comprising a needle carrier (2), at least one cannula (3), which has a distal and a proximal cannula segment (6, 7), and a hose-shaped sleeve (4), which has a closed sleeve end (12) and an open sleeve end (11). The sleeve (4) is fastened to a proximal needle-carrier end (10) by means of the open sleeve end (11) and surrounds the proximal cannula segment (7) in a sealing manner in such a way that an accommodating chamber (13) is formed. An air removal device (14) connects the accommodating chamber (13) to the outer environment in order that air flows out of the accommodating chamber and is formed by at least one outflow channel (15) arranged or formed in the needle carrier (2). A partial segment of the outflow channel (15) comprises a plurality of chambers (27, 28, 29) arranged one after the other and spaced apart from each other in an outflow direction and at least one connecting channel (30, 31) that connects chambers (27, 28, 29) arranged immediately adjacent in the outflow direction. The connecting channel has a flow cross-section that allows the air to flow through but at least largely prevents or completely stops the bodily fluid, in particular blood, from flowing through.