the invention concerns a syringe comprising : a body including a cylindrical side wall having an open upstream end with an inner annular rim and a downstream end closed by a transverse wall provided with an orifice ; a shaft equipped with a plunger having at least two annular sealing lips between which is defined at least one annular chamber . the shaft , which can slide inside the body , defines inside the body an inner chamber designed to be at least partly filled with a content . delivery passages provided inside the body are configured to communication said annular chamber of the plunger with the outside of the body or with the inner chamber of the body , when the plunger is abutting against the annular rim .