A haymaking machine includes a chassis supported directly or indirectly on the ground by wheels and a working device connected to the chassis. The chassis includes a coupling device to which two hitching pieces are articulated each bearing a hitching pin for the hitching to the respective lower arms of a tractor. Each hitching piece cooperates with a respective return device. Each return device storing energy when the corresponding hitching pin moves, relative to the coupling device, upward from a first position. Each return device is able to release that energy to the corresponding hitching pin by returning the hitching pin toward the first position. Each return device stores energy when the corresponding hitching pin moves, relative to the coupling device, downward from a second position, and each return device can release that energy to the corresponding hitching pin by returning the hitching pin toward the second position.
