A haymaking machine provided with a supporting wheel set (4) and a pair of crop processing members (7, 8) disposed on either side of a drawbar (1). The orientation of the wheel set (4) relative to the drawbar (1) is adjustable by means of a steering device. The haymaking machine has a steering plate (11) fastened to the rear end of the drawbar (1), which steering plate (11) is pivotable about a substantially upwardly orientated steering axis (12).