The invention provides a bearing including an inner bearing surface that is formed by a layer of self-lubricating material and that contains axially extending and circumferentially spaced apart lubrication grooves. The inner bearing surface and the grooves therein are formed by conforming the self-lubricating material to the outer surface of a mandrel that has elongated members supported thereon so that the elongated members form the lubrication grooves. An overlayment is then applied on the layer of self-lubricating material, the overlayment including a plurality of filaments wound around the layer of self-lubricating material, and a hardenable liquid to bond the layer of self-lubricating material to the overlayment.