A dashpot featuring amplitude-dependent shock absorption, especially intended for the wheel of a vehicle and including a hydraulically parallel cylindrical pressure-compensation chamber (8). The pressure-compensation chamber is partitioned by an axially displaceable floating piston (10). At least one face (25) of the floating piston is provided with a resilient bumper (18). The object is a dashpot with a floating piston that arrives more gently at its limit inside the pressure-compensation chamber (8). The bumper is accordingly accommodated in an axial hollow (17) that extends through the body (15) of the floating piston.