A valved male luer connector includes an elastic hollow element which encloses a tubular member having an inlet portion and an outlet portion. A collar is axially displaceable causing a stretching deformation of the elastic hollow element and opening the flow passage between the inlet portion and the outlet portion of the tubular member. A priming cap is designed to be releasably connected to the casing of the valved connector to provide stretching deformation of the elastic element and keep the outlet portion of the tubular member in communication with the atmosphere through a liquid-impermeable barrier.
