A system for the extracorporeal elimination of carbon monoxide, includes at least one pump and a gas exchange chamber, wherein the at least one pump can be connected to the blood circulatory system of a person by way of a first tube section connectable to a cannula and is connected to a gas exchange chamber via a second tube section, wherein the system is configured to transfer blood, via the first tube section, from the blood circulatory system of the person by way of at least one pump into the gas exchange chamber, and to return the blood from the gas exchange chamber to the blood circulatory system of the person via the same first tube section.