A fluid dispenser device such as a pump or a valve designed to be fitted to a neck of a receptacle, said device comprising: a body in which a piston can be caused to slide by depressing a pusher; a fixing member for fixing the body to the receptacle neck; and a dip tube for bringing the fluid from the receptacle to the body, the dip tube having a free end situated in the vicinity of the bottom of the receptacle and a fixed end held by connection means; wherein the connection means are formed by the fixing member.