A spring ring is arranged in an annular gap of a pair of outer bearing rings in an arrangement for fastening a rolling bearing in the bore of a housing. A groove is provided in the housing for receiving the spring ring. A holding ring is mounted on the outer surface of the bearing outer ring, the holding ring having a collar aligned to hold the spring ring within the annular gap during the disassembled condition of the bearing. The holding ring has an axial surface adapted to engage the end of the housing during assembly, to enable the holding ring to be forced axially along the outer surface of the bearing outer ring. The holding ring futher has an end away from the spring ring adapted to form a seal with the bearing inner ring.