Fluid connection device adapted and intended for connecting a first wall forming a first flexible pipe defining a first fluid space, to a second wall defining a second fluid space in the form of a second flexible pipe or flexible enclosure that is semi-rigid or rigid and disposable, in a biopharmaceutical assembly, comprising: - a first connector defining a first hollow passage, adapted and intended for connection to the first fluid space, - a second connector (1'; 2), similar to the first connector, defining a second hollow passage, adapted and intended for connection to the second fluid space, the first connector and the second connector being adapted and intended to be coupled together in a genderless manner, by an insertion movement that is essentially an axial translation along the axis A, into a relative coupling position, which defines a mating plane perpendicular to the main axis, each of the first and second connectors comprising, in an alternating manner along the circumferential direction, N flexible snap-fitting tabs and N stop surfaces, N being a strictly positive integer, 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 of the connectors clip into place beyond the stop surfaces of the other of the connectors, so that the resulting position is locked by the snap-fitting tabs, wherein the snap-fitting tabs of one connector are formed integrally from the body of the connector, and each of the snap-fitting tabs moves into the coupling position through a slot formed in a collar of the other connector, wherein each connector comprises a substantially cylindrical body and wherein in the coupling position the snap-fitting tabs lie adjacent to the body of the opposing connector and externally thereto, the snap-fitting tabs moving apart outwardly during the coupling movement and being resiliently biased radially inward if someone attempts to move them away from their rest position, such that they must all be moved apart simultaneously in order to unlock the connection, so that the position thus obtained is locked by the snap-fitting tabs, characterized by the device further comprising a protective cover formed by two half-portions (5a, 5b) configured to close together in the radial direction to at least partially surround the first connector and the second connector, the cover serving as indicator of proper coupling when snap-fitted into its closed position, and further comprising a pipe clamp adapted and intended to be arranged around the end of the first flexible pipe in order to clamp said pipe onto a tubular nozzle of the first connector, and wherein the protective cover comprises at least one tubular extension adapted to be positioned, when the cover is clipped into the coupling position, at least partially facing the pipe clamp in the radial direction, whereby the tubular extension prevents the pipe clamp from coming into direct contact with external elements. - a first connector defining a first hollow passage, adapted and intended for connection to the first fluid space, - a second connector (1'; 2), similar to the first connector, defining a second hollow passage, adapted and intended for connection to the second fluid space,