Abstract: Device (1) for connecting an enteral nutrition tube (7) to a nutrient composition container and having a neck (8A-8D), of the type comprising a transverse closure wall (4) and a skirt (3) forming with said wall a plug adapted to be fixed to said neck (8A-8B), characterized in that it is independent of the tube (7), in that the transverse closure wall comprises a reduced thickness area (5) adapted to be perforated by a perforator end-piece (6) mounted on one end of said tube, and in that said skirt forms part of a set of at least two coaxial elastic cylindrical skirts (2, 3) fastened to the transverse closure wall and each adapted to engage inside or outside the necks of containers having at least two different predetermined formats.