The invention provides a rolling bearing assembly device having an inner race, an outer race, at least one row of rolling elements between the inner race and the outer race, and a sleeve mounted in the bore of the inner race. An annular elastic element is mounted axially between a radial bearing flange of the sleeve and the inner race, the elastic element having an inner bore that is able to bear against an outer surface of the sleeve so as to transmit a force having a radial component in the direction of the interior of the device. The sleeve includes at least one slot extending axially towards the inner race from a lower edge of the radial bearing flange, the lower edge being disposed on the opposite side from the inner race.