The present application describes a process for removing toxic compounds, namely carbon dioxide, present in gas streams in anesthesia circuits, using membrane contactors. The present process allows for the recirculation of anesthesia gases, CO2 free, to the anesthetized subject, as well as the recirculation of the receiving absorber liquid phase, from which the CO2 is removed.The present application also describes the use of this procedure in the field of medicine, namely its in-situ use during medical interventions, in which the subject is anesthetized.