Abstract: A gas exchange device (100) with an extracorporeal blood circuit (102) in which a blood pump (110) is connected, with a CO.sub.2 exchange unit (112), and an oxygenator (128), whereby the gas exchange unit (112, 128) is in each case divided by a hydrophilic, water-wet membrane (114, 130) into a blood chamber (116, 132) and a gassing chamber (118, 134) which is under positive transmembrane pressure.