A system (5) for generating a gaseous mixture for an enclosure (7) for treatment of a wound (3), comprising a generator (11) for generating the gaseous mixture and for delivering said gaseous mixture to the treatment enclosure (7) at a defined flow rate, the generator (11) of the gaseous mixture being designed to vary a molar fraction of dioxygen of said delivered gaseous mixture and to vary a molar fraction of water vapour of said delivered gaseous mixture, a control unit (39) which serves for controlling the delivered gaseous mixture and is provided with a processor (41) for receiving information relating to a pressure (P) inside the treatment enclosure (7) and/or designed to determine a flow rate of said gaseous mixture to be delivered in the treatment enclosure (7) in order to obtain an internal target pressure, the target pressure being defined by a time variation function of the pressure between a minimum pressure, corresponding to an ambient pressure outside the treatment enclosure (7), and a maximum pressure.