This massage head is fitted with a case defining an internal chamber in which a skinfold is formed when it is applied to the skin of a patient. The fold presses against the lower edges of the chamber, which is defined by two lateral walls and by two transverse walls The transverse walls each include a clack valve able to be driven in a pivoting motion, so as to cause the lower edges of the clack valves in contact with the skinfold to come closer together or move further apart. The relative displacement of the clack valves is ensured by of a motorized rotary cam provided in the massage head. The cam defines a cam path engaging with a component associated with the clack valves, and able to cause the swivelling motion thereof.