An extracorporeal circuit for removing CO2 from blood comprising a blood taking line for taking blood from the patient, an oxygenation assembly and a blood re-introduction line for re-introducing blood into the patient. The oxygenation assembly comprises a first dialyzer connected to a circulation circuit for the circulation of a dialyzer bath, an oxygenator which is arranged on the circulation circuit, an acidifier, which is suited to introduce an acid substance into the circulation circuit upstream of the oxygenator, and basic neutralization means which are arranged downstream of the dialyzer.