A setting tool (402) for setting a plug in a well, the setting tool (402) including a body (404) extending along a longitudinal axis X; a rod (408) extending along the longitudinal axis of the body (404), from an upstream end (402B) to a downstream end (402A) of the body (404); a chamber (406) formed at the downstream end (402A) of the body; and a restriction element (450) located in the chamber (406). The rod (408) extends through the entire chamber (406) and the restriction element (450) is located between the rod (408) and a wall (404A) of the chamber (406).