Fluid product application device having a base part mounted on a main reservoir and having a dip tube connecting a cup provided with a piston lip, and a removable member mounted on the base part and having a tube able to slide against the piston lip and an applicator able to retain a dose of fluid product injected by suction generated by the tube sliding in a sealed manner against the piston lip. The fluid product is injected into the applicator through the dip tube, the removable member further having a nipple communicating with the applicator and the dip tube. The nipple internally defines a secondary fluid product reservoir for supplying the applicator with fluid product.