The invention relates to a sleeve tube (1) made of elastic material, of cylindrical overall external shape, intended to fasten the rod (2) which passes through it, to a support (3) of the type exhibiting two facing walls each provided with an opening (4) through which the said rod also passes. The sleeve tube, according to the invention, is characterised in that it includes: a) at its two ends, in the passage of the said openings, a first section (5) capable of holding the rod by gripping when it is pushed in; b) in its central part, between said openings, a second section (6) capable of translationally immobilizing the sleeve tube by deformation of the said section when the said rod is pushed in. <IMAGE>