A pick-up device, usable by an agricultural machine, includes a frame and first and second units. The first and second units each include a displacement device, are arranged beside each other and a small distance apart, are connected directly to the frame by respective first and second articulations having first and second distinct axes directed in a direction of advance, include respective first and second pick-up rotors rotatable about third and fourth axes, and are connected to one another by a guidance device. The first and third axes are in a same seventh plane, the second and fourth axes are in a same eighth plane. A stop mechanism defines two work end positions of the first and second units with respect to the frame, between which they can pivot freely within a limited range, and remain connected to one another regardless of their position between the work end positions.