the invention relates to a push device which includes a rotary pad in which the inner periphery is off - centre relative to the outer periphery and applied to the rear of the rack which is thereby pushed towards the teeth of the steering pinion . a clearance compensation mechanism includes a thrust member pressed against a radial arm of the pad by a compression spring inserted between said member and an element secured to the support of the pad . a mobile stop rotatably mounted relative to the element comprises toothings having staggered gear teeth cooperating with notches of the thrust member . the stop is connected to the element by means of a torsion spring . the notches successively cooperate with the staggered teeth .