The search for lepton-flavor-violation process e^+e^-to emu in the energy region sqrt{s}=984 - 1060 MeV with SND detector at VEPP-2M e^+e^- collider is reported. The model independent 90% CL upper limits on the e^+e^-to emu cross section, sigma_{emu} < 11 pb, as well as on the corresponding phito emu branching fraction, B(phito emu) < 2 times 10^{-6}, for the final particles polar angles 55^circ<theta<125^circ, were obtained.