The head has a case defining an inner chamber in which a skinfold is formed when the chamber is applied to skin of a patient. Two transverse walls of the chamber have respective clack valves (15, 16) driven in a swiveling motion by a component such that lower edges of the valves in contact with the skinfold are brought closer and spaced from one other. A motorized rotary cam (10) provided within the head assures relative displacement of the valves, and defines a cam path engaging with the component associated with the valves. The valves are made of monoblock plastic piece. An independent claim is also included for a massage device comprising a vacuum or negative pressure source.