A roller bearing for the rotational guidance of a motor vehicle wheel, the bearing comprising a rotating inner member, a fixed outer member and rolling bodies allowing their relative rotation about an axis. The inner member includes a bore on the periphery of which flutes are provided so as to allow the rotational coupling of a fluted shaft with the internal member. The bearing has a path forming an air passage having an outer channel and an inner channel designed to pass right through respectively each of the members, in which, in combination, the path has a groove formed by the omission of at least the front part of at least one flute, from an intermediate zone of the bore as far as its front face. The downstream end of the inner channel opens out in the groove.