(EN) In a method of absorbing CO2 from a gas mixture the use of an absorption medium comprising water and at least one amine of formula (I) where R1 is a - ( CH2 ) n- ( XCH2CH2 ) m- Y - R3 radical where R3 = hydrogen or an alkyl radical having from 1 to 6 carbon atoms, X and Y are each, independently of one another, NR3 , oxygen, SO or S0 2 , where in the case of Y = SO and in the case of Y = S0 2 , R3 is not hydrogen, and Y- R3 can be an N-rnorpholinyl radical or an N-piperazyl radical, n = 2 to 4, rn =Oto 4 and R2 is hydrogen, an alkyl radical having from 1 to 6 carbon atoms or a radical R1 , where mis not O when R2 is not a radical R1, Y = NR3 and Y - R3 is not an N-morpholinyl radical and not an N-piperazyl radical, makes it possible to avoid precipitation of a solid during the absorption of CO2 and a separation into two liquid phases during the regeneration of the absorption medium. (No suitable figure)