Method for supplying a user station with a cryogenic fluid such as liquid nitrogen, in particular a user station which is a station carrying out machining operations, wherein the liquid/gas two-phase content arriving at the user station is a factor that influences the quality of the operation carried out by this station, from a cryogenic fluid storage tank, which tank contains, under a storage pressure higher than atmospheric pressure, the cryogenic fluid in the liquid phase at the bottom of the tank and in the gaseous phase at the top of the tank, said tank being designed to supply said station with liquid withdrawn from the bottom of the tank, and to be supplied with fluid from the outside, the method comprising the step: i) a gas/liquid phase separation means, for example a degassing pot or a phase separator, is provided, which is supplied with cryogenic fluid from said tank and carries out the separation of a substantially liquid phase and a substantially gaseous phase of said cryogenic fluid, said substantially liquid phase being directed toward the user station; the method being characterized in that: j) the fluctuations in the liquid/gas two-phase content arriving at the user station are measured over time, for example during each operating phase of the user station: - by having a measurement of the flow rate of gas output from the gas outlet of the phase separation means, as provided by a flow meter, and by measuring any deviations in this flow rate of gas over time; or - by having information supplied by a flow sensor situated at the gas outlet of the phase separation means, this information being of the 0/1 binary type, making it possible to detect the existence of a flow at the outlet of the separation means and to determine the opening time of the sensor over a given time interval; k) depending on the result of the determinations made in j), one or more actions (2, 10 etc.) are undertaken in order to inform the user station and/or to modify the operating conditions of this user station. i) a gas/liquid phase separation means, for example a degassing pot or a phase separator, is provided, which is supplied with cryogenic fluid from said tank and carries out the separation of a substantially liquid phase and a substantially gaseous phase of said cryogenic fluid, said substantially liquid phase being directed toward the user station; the method being characterized in that: j) the fluctuations in the liquid/gas two-phase content arriving at the user station are measured over time, for example during each operating phase of the user station: - by having a measurement of the flow rate of gas output from the gas outlet of the phase separation means, as provided by a flow meter, and by measuring any deviations in this flow rate of gas over time; or - by having information supplied by a flow sensor situated at the gas outlet of the phase separation means, this information being of the 0/1 binary type, making it possible to detect the existence of a flow at the outlet of the separation means and to determine the opening time of the sensor over a given time interval; - by having a measurement of the flow rate of gas output from the gas outlet of the phase separation means, as provided by a flow meter, and by measuring any deviations in this flow rate of gas over time; or - by having information supplied by a flow sensor situated at the gas outlet of the phase separation means, this information being of the 0/1 binary type, making it possible to detect the existence of a flow at the outlet of the separation means and to determine the opening time of the sensor over a given time interval; k) depending on the result of the determinations made in j), one or more actions (2, 10 etc.) are undertaken in order to inform the user station and/or to modify the operating conditions of this user station.