A method for maintaining constant position of a bearing outer race relative to an axial bore of a pulley comprising providing a pulley having a central axial hub exhibiting a concentric axial bore therethrough, the concentric axial bore having an axial bore surface; providing a bearing having an outer axial race, an inner axial race, and a plurality of bearing elements rotatably positioned between the outer axial race and the inner axial race; applying at least one drop or bead of a fastening element onto an outer surface of the outer race, wherein the fastening element acts to maintain constant position of the bearing relative to the pulley; and coupling the bearing to the pulley, and a pulley having a bearing integral therewith which exhibit the characteristic of maintaining constant position of the bearing relative to the pulley are disclosed.