The invention relates to a fluid-supply device comprising a compression apparatus (1) comprising a pumping apparatus with an
enclosure (13) intended to contain a bath (16) of cryogenic fluid, a first and a second compression chamber (3), (4), an intake
system (2) admitting to the first compression chamber (3), a
transfer system (6) transferring between the first (3) and the second (4) compression chamber, a movable
piston (5) for ensuring the compression in the first (3) and second (4) compression chambers, a
discharge port (7) for discharging the
compressed fluid, an overflow orifice (8) for discharging, from the first compression chamber (3), a surplus of liquid trapped in the first compression chamber (3) during a compression movement of the
piston (5) in the first compression chamber (3), a collecting
pipe (11) having an upstream end connected to the overflow orifice and a downstream end connected to a receiving volume, the receiving volume comprising a tank (10) forming a storage volume that is separated from the bath (16) by at least one wall.