The invention relates to a safety device for limiting the pressure of a compressor that operates with variable stroke or variable displacement. The tilt of the wobble plate or the swash plate is varied at least by the difference between the high pressure in the discharge pressure zone (11) and the driving chamber pressure (16), optionally by the difference between the driving chamber pressure and the suction pressure. The safety device is provided with a supply connection between the discharge pressure zone (11) and the driving chamber pressure (16), with a valve device disposed in said supply connection, and optionally with a bypass throttle.