The device (10) allows the connection between a vessel closed off by a perforable stopper and a container. It comprises a base (14), which is configured to be mounted on the vessel and which comprises a hollow member for perforating the stopper, this hollow member delimiting at least one opening, and a needle holder (18), which is waiting to be connected with the container, and which includes a needle (180), one of the ends of which emerges in the inner volume of the hollow member. The device (10) further comprises a collar (16) attached to a needle holder (18), and a sheath (11), which is connected around the collar (16) and which defines a central axis (X11) along which it is movable against a resilient force exerted by return means.