A method of manufacturing a wheel has a step (a) during which, by injecting a first polymer material into a first mold, a bearing core is created that extends from a radially internal wall that forms the ball of a steering axis, as far as a radially external peripheral edge, followed by a step (b) of coating during which step a coating layer is overmolded in a second polymer material over the bearing core to form a rim around the peripheral edge, the method being such that during step (a) of creating the bearing core, a preformed reinforcing hoop made of a third material referred to as “reinforcing material” is placed in the first mold then the reinforcing hoop is at least partially embedded in the peripheral edge during injection of the first material.