The classical resistance of a contact between a ferromagnet (F) and a superconductor (S) acquires an additional contact term as compared to the contact between a ferromagnet and a normal metal. The necessity to match spin-polarized current in a ferromagnet to spinless current in the superconductor results in the accumulation of nonequilibrium polarization near the F/S interface. In the present work; we show that the weak localization correction to the classical diffusion coefficient delta D is dependent on the degree of polarization, with majority spins more likely to be reflected from the interface than minority spins. Taking into account the change in the spin polarized particle distribution in the F wire arising from delta D, we calculate the weak localization correction to the F/S contact resistance.