A fluid dispenser having a fluid reservoir; a dispenser member mounted on the reservoir and that includes an actuator rod; a pusher mounted on the actuator rod; and a covering shell in which an assembly, formed by the reservoir and its dispenser member, is held in removable manner. The pusher is held captive by the covering shell, the pusher is axially movable in the covering shell over a limited stroke defined by a low abutment and a high abutment. A magnetic device acts between the covering shell and the pusher so as to hold the pusher, by magnetic attraction/repulsion, in a determined position that is stationary relative to the covering shell, when the actuator rod is disconnected from the pusher.