Abstract: A rolling-element bearing has concentrically arranged, radially spaced first and second race surfaces rotating with respect to one another during operation of the bearing and a rolling element which is in rolling contact with the first and second race surfaces. The rolling element is constituted by at least one rolling ring surrounding the rotary axis of the bearing and having radially inner and radially outer rolling surfaces of circular course. The rolling surfaces of the rolling ring are eccentric with respect to one another; the maximum radial distance between the rolling surfaces of the rolling ring corresponds to the radial distance between the first and second race surfaces. The radially inner rolling surface of the rolling ring is in continuous rolling engagement with one of the race surfaces, whereas the radially outer rolling surface of the rolling ring is in continuous rolling engagement with the other of the race surfaces.