A fluid dispenser having a fluid reservoir, a fluid suction chamber of variable volume that defines an extraction and application space; a dip tube that connects the reservoir to the chamber at an injection orifice that defines an injection axis; and a suction mechanism for sucking, during a suction stage, fluid from the reservoir into the chamber through the injection orifice. The injection orifice is situated a little way inside or outside the extraction and application space, such that the fluid is injected in the form of an axial jet into the extraction and application space and fills it, at least in part, without the injection orifice penetrating into the space.