A medical gas insufflation device comprising at least a gas outlet circuit, a connector for connecting a pressurized vessel in which the gas is packaged, an expander placed between the connector and the gas outlet circuit, a high-pressure sensor placed between the connector and the expander, a flow meter placed at the outlet from the expander, and a microprocessor connected at least to the sensor to receive signals representative of the pressure observed at the connector and to the flow meter to receive signals representative of the flow rate at the outlet from the expander, wherein the microprocessor includes evaluation means for evaluating the remaining volume of gas after expansion as a function of the signals received from the sensor and the flow meter during a gas expansion operation, wherein the evaluation means comprise means for evaluating the remaining volume of gas after expansion as being the ratio of the expanded volume obtained from the flow rate and the duration of the expansion divided by the pressure drop generated by the expansion and measured by the sensor, multiplied by the remaining pressure as measured by the sensor at the end of the expansion operation.