Fluid-connection device for connecting a flexible pipe defining a first fluid space to a second flexible pipe or a flexible fluid enclosure in a biopharmaceutical assembly, includes a first connector and a second connector equivalent thereto, the first connector and second connector adapted to be coupled together in a genderless manner, by an insertion movement that is essentially an axial translation, into a relative coupling position, which defines a mating plane, each of the connectors including, in an alternating manner along the circumferential direction, N flexible snap-fitting tabs and N stop surfaces, the flexible snap-fitting tabs projecting axially forwards relative to the mating plane, and the stop surfaces being set back from the mating plane so that, in the coupling position, the snap-fitting tabs of one connector clip into place on the stop surfaces of the other connector, such that the resulting position is locked by the snap-fitting tabs.
