A valved male luer connector includes a resilient hollow element enclosing a tubular member having an inlet portion and an outlet portion. A collar is axially displaceable to cause a stretching deformation of the resilient hollow element so as to open a cut of a terminal wall thereof adjacent to an initial end of the inlet portion of the tubular member. The collar has a containment axial appendage of the resilient hollow element up to close to the terminal wall thereof. A stop means for limiting the stretching deformation of the resilient hollow element is provided for in the zone close to the terminal wall thereof.
