The invention relates to a device (10) for delivering a product by spraying. This device (10) has a reservoir (16) for storing the liquid to be dispensed, and a pump (12). The pump (12) has a pump body (24) that is mounted in a fixed manner on the reservoir (16) and the pump body (24) has an air passage orifice (72) from the outside to the inside of the reservoir (16). The device (10) also has an air passage from the outside to the inside of the reservoir (16), said air passage passing through the air passage orifice (72), the air passage being closed off by a member made of an air-permeable polymer material, this material being non-porous, the member being referred to as an air-permeable member (74).
