A system includes an insufflator provided with a gas inlet, a valve that regulates the flow to be supplied, an adjustable heater for the gas to be supplied, a sensor that detects the temperature of the heated gas, an outlet for supplying the gas, and a mechanism for propelling the gas toward the supply outlet. A disposable supply duct can be coupled to the gas outlet for the insufflator in order to convey the heated gas into the patient and a return duct for the gas is connected to a distal area of the supply duct and to an inlet of the heater, wherein the gas supply duct and the gas return duct form a continuous recirculation circuit for heated gas.