A release bearing includes a rolling-contact bearing having a non-rotatable inner ring, a rotating outer ring, and plural rolling members located between the inner and outer rings, An adjustment ring having a ring flange is provided for abutment against a disk spring of a clutch mechanism, and a sliding element made of bearing material is disposed in a support zone defined between complementary calotte-shaped portions of the outer ring and the adjustment ring so that the adjustment ring and the outer ring are movable relative to one another for effecting a self-adjustment of the release bearing.