The localized Hartree-Fock approximation is applied to convert 'traditional' non-local and non-multiplicative hybrid exchange-correlation potentials into local and multiplicative Kohn-Sham potentials for the open-shell case, within the spin-unrestricted formalism. The method has been evaluated in calculations of g-tensors for nine first-row transition-metal compounds. Local potentials allow one to improve the results by increasing the exact exchange admixture to a certain limit, whereas this is more difficult for non-local potentials. Exact-exchange admixture of ca. 0.5 provides the best agreement with the experimental g-tensors which is consistent with previous local hybrid potential results for nuclear shielding constants of closed-shell main-group molecules. (C) 2004 Elsevier B.V. All rights reserved.