Assembly for the dispensing and the application of a fluid product, comprising a container (2) containing the product, an applicator holder (30) equipped with an applicator (38), an impregnation channel (53) making it possible to impregnate the applicator (38) with the product and a needle holder (12) equipped with a needle (13), the applicator holder (30) being translationally mobile with respect to the needle holder (12) between a position in which the needle (13) closes off the impregnation channel (53) and a position in which the impregnation channel (53) is open, an operating sleeve for the translational movement of the applicator holder (30) being provided, in which the operating device (40) is formed by a sleeve manually actuated in rotation with respect to the container (2), in which container the applicator holder (30) is moved longitudinally, this sleeve having a length such that, in the position for closing off the impregnation channel (53), the applicator (38) is entirely contained within the operating sleeve (40), the applicator (38) being a brush formed by a ring of bristles fixed annularly around the impregnation channel (53).