The inventive syringe (1) for the oral administration of a product includes a tubular body (3) and a piston (5) slidingly received inside the body (3), said body (3) defining a first receiving chamber (21) for the product, the first chamber (21) including at least one discharge vent (29) for the product. The body (3) further defines a second chamber (22) extending the first chamber (21). The piston (5) is able to cooperate tightly with an inner surface (27) of the first chamber (21) and with play with an inner surface (36) of the second chamber (22).