Abstract: A composite compensator sleeve (3), designed specifically to compensate for the dimensional difference that exists between a rotational drive carrier (1) and a printing forme (2), the outer face (2b) of which forms a flexographic plate, which sleeve comprises, fastened to one another, so as to be unable to undergo any rotational and translational movement relative to the others, from the inside outward: a tubular nickel-based metal internal base (5), providing the cylindrical inner face (3a) of said compensator sleeve, the thickness of which is between 0.1 and 0.25 mm, and is obtained by electroplating; an external layer (6) of a hard elastomer material, providing the outer face (3b) of said compensator sleeve; and an intermediate layer (7) of a soft elastomer material, placed between the metal internal base (5) and the hard external layer (6).