The machine comprises a frame (1) on which is mounted a bunker (2) for a fluid material, located inside a hermetic chamber (4) provided with an inlet connected to a source (5) of a working medium, and a device for displacing the fluid material, which consists of a drum (6) with a flexible sleeve (7) wound on it connected to a drive. The internal cavity (B) of the sleeve (7) is connected to the bunker (2). The loose end of the sleeve (7) passes through an outlet of the chamber (4), is turned inside out and hermetically fixed along the perimeter of the chamber (4) so as to form an annular cavity (A).