Equipment including a rigid plate provided with a plurality of cutters configured to be impressed in sequence against a swaged annular collar of an inner ring of a wheel hub, the collar being formed with a first radial profile; the cutters sliding axially through the plate and towards a first face of the plate resting in abutment against the collar; wherein the first face of the plate is provided in the region of the cutters with a concave annular seat having a second radial profile configured to copy at least partly the first radial profile of the collar, the annular seat being configured to be passed through by the cutters during the step for impression against the collar and to contain any radial flow of the metallic material which forms the collar.