This dampening device comprises a body defining a chamber and presenting at least one orifice intended for the inlet and the outlet of the fluid in the chamber. The dampening device further comprises i) a dampening member located in the chamber and comprising at least one foam with closed cells, and ii) a holding member configured to hold the dampening member in place. The dampening device being characterized in that at least one foam has a porosity comprised between 50% and 98%.