A rolling bearing comprising an outer ring, an inner ring, at least one row of rolling elements disposed radially between the rings, at least one sealing flange mounted in a manner to bear axially against a front surface of one of the rings, and a feature for fixing the sealing flange to the ring. The fixing feature at least locally covers a region of the front surface of the ring that is left free by the sealing flange and a part of the flange that is adjacent to the region. The fixing feature is annular.