A fluid dispenser device including a body; a reservoir containing one or two doses of a fluid, the reservoir including a stopper that closes the reservoir in leaktight manner before actuation; a dispenser head that is provided with a dispenser orifice; and dispenser mechanism for dispensing at least a portion of the fluid through the dispenser orifice during actuation. The device further includes a needle having a tip that is adapted to pierce the stopper during actuation, the reservoir being filled with the fluid and being closed with the stopper under a vacuum, so that the residual volume of air present in the reservoir between the fluid and the stopper is substantially zero.