An agricultural machine comprises a pick-up device with teeth and points, and a guiding device with a lower front end, a rear part and an intermediate part situated above the pick-up device and movable relative to the latter about a rotation center, via a displacement device movable in a first, respectively a second position and comprising first and second connecting means which enable the guiding device to pivot about a first, respectively a second rotation center. The first and second connecting means are geometrically and/or elastically configured so that in the first position, the lower front end is greatly raised above the ground and the intermediate part is brought close to the points, and that in the second position the lower front end is brought greatly close to the ground and the intermediate part and the rear part are distanced from the points.