For Brillouin-sensing applications, we develop a method for mitigating the Fresnel reflection at the perfluorinated-polymer-optical-fiber ends by covering them with an amorphous fluoropolymer (CYTOP, fiber core material) dissolved in a volatile solvent. Unlike the conventional method using water, even after solvent evaporation, the CYTOP layer remains, resulting in long-term Fresnel reduction. In addition, the high viscosity of the CYTOP solution is a practical advantage. The effectiveness of this method is experimentally proved by Brillouin measurement.