A hydraulically damped rubber bearing includes a journal bearing, a bearing member and an annular spring element of elastic material forming a bearing spring having a perpendicular axis of deformation. The bearing spring is disposed between the journal bearing and the bearing member. A fluid-filled working chamber is surrounded by the journal bearing, bearing member and bearing spring. A compensation chamber is connected in fluid communication with the working chamber via a damping port. At least one relief spring is formed of a substantially non-creeping and/or non-settling material. The relief spring is connected in parallel with the bearing spring to support the journal bearing on the bearing member when the rubber bearing is load.