Transfer cross sections have been measured for $^{58}$Ni${+\mathrm{}}^{58}$,64Ni in the energy range ${E}_{\mathrm{c}.\mathrm{m}.=100--}$107 MeV with use of time of flight in a magnetic spectrograph. The direct reactions are dominated by one-neutron transfer, with other transfer cross sections being smaller by a factor of 3--4 or more. The average kinetic energy loss is \ensuremath{\sim}2 MeV. Over the measured energy range the total transfer cross section for $^{58}$Ni${+\mathrm{}}^{58}$Ni is smaller than that observed for $^{58}$Ni${+\mathrm{}}^{64}$Ni by a factor of 4.