An electrical connection assembly includes a female element having at least one electrical contact and a male element to be inserted in the female element and which includes a plug and a sleeve that surrounds and is movable relative to the plug and at least one electrical contact is carried by the plug and is electrically engageable to the electrical contact of the female element. An external surface of the sleeve has at least two stages with diameters which are smaller in a direction toward a free end of the male element and the female element has a body with an internal surface having at least two stages with diameters which are larger in a direction toward a mouth of the female element and such that the at least two stages of the external and internal surfaces seat with one another when the male element is inserted into the female element.