A landing gear includes a shock absorber having first and second elements slidable relative to each other, the slidable elements defining an inside volume which is filled in part with hydraulic fluid so as to leave a first chamber filled with gas under pressure and located at the end of one of the slidable elements. A vessel filled with gas under pressure is housed in the end and is provided with a shutter member that is initially in a closed state and that is suitable for taking up a stable open state when the pressure in the first chamber exceeds the pressure in the vessel by a predetermined threshold amount.