A fluid or powdery product dispensing device comprises a dispensing outlet (10), an air ejector (20) to generate an air flow when the device is actuated, and at least one rservoir (30) containing a unit dose of the product, the rservoir comprising an air inlet (3 1) and a product outlet (32), the air inlet comprising a product retaining member (40) and the product outlet being closed by a closing lment (50) press-fitted into the product outlet of the rservoir, the device comprising a mechanical opening System (61, 62) for ejecting the closing lment mechanically from its closing position when the device is actuated, the closing lment being a non-spherical lment