A turbine engine comprises a rotor shaft and a roller bearing supporting the shaft in rotation along an axis. The bearing comprises an inner ring, an outer ring, and rolling elements engaged between the inner and outer rings. The inner ring has a first axial end annular portion that is more exposed to heat during operation than a second axial end annular portion thereof. The turbine engine further comprises an oil injection device configured to supply the rolling elements with oil for lubrication of the latter. In order to homogenise the temperature of the inner ring, the latter comprises through-holes formed in the first axial end annular portion and distributed around the axis in order to allow for a circulation of oil coming from the oil injection device through the first axial end annular portion, thereby providing additional cooling to the first end annular portion.