In a combine harvester, the forward-directed driveline from the combine is coupled to the transversely oriented header drive axle through a transverse gearbox that is mounted on a moveable cradle frame onto which the header is mounted. In addition, the housing of the gearbox or at least the portion of the housing including the input axle of the gearbox is rotatably arranged relative to the cradle frame, about a rotation axis oriented transversely to the combine's forward direction. A mechanical link is furthermore provided between the rotatable gearbox housing (portion) and the feeder housing, configured to control the orientation of the input axle of the transverse gearbox, so as to maintain the alignment of the input axle relative to the driveline of the combine.