Cushioned landing bearing in oil

turbomachine roller bearing rotatably supporting a first shaft (4) relative to a second shaft (6) and comprising: a plurality of rolling elements (12) engaged between an inner annular ring (14) mounted on the second shaft and an outer annular ring (16) mounted on the first shaft; an oil film (18) formed at an annular contact surface between said outer ring and said first shaft; at least one duct (34) passing through said inner ring and opening at an inner race of rolling of said rolling elements in order to ensure lubrication; and at least one additional duct (38) passing through said inner ring and opening outwardly of the inner raceway to feed oil through said outer ring said oil film under the effect of centrifugal force generated by rotation of said second shaft, said outer ring having an annular shoulder (42) projecting radially inwardly of said annular space, said shoulder including at least one channel (40) opening substantially opposite said additional duct and opening out at said oil film.