A bearing assembly includes first and second rolling-element bearings each having an inner ring with a running surface for rolling elements and a guide flange that extends radially outwardly beyond the running surface for limiting axial movement of the rolling elements. The inner rings are configured such that they are in contact with each other exclusively within a contact surface diameter that is smaller than an average value of a maximum diameter of the running surface of one of the inner rings and a maximum outer diameter of that inner ring. The guide flanges are disposed on sides of the inner ring of the first rolling-element bearing and of the second rolling-element bearing that face each other axially.