The temperature dependence of the microwave surface resistance for overdoped YBa 2 Cu 3 O 7Ϫ␦ films has been investigated experimentally. It was shown that the observed unusual behavior of the surface resistance can be described in the framework of the spin-flip scattering of carriers, leading to the pair breaking and the subsequent recovery of superconductivity caused by the ordering trend of the magnetic impurities at low temperature. A simple phenomenological model based on the common BCS approach is suggested, which is able to interpret nicely the experimental data.