In this paper we study the occurrence of metallic and insulating characters in fullerites doped with alkali metals. In particular, the occurrence of the metal phase in potassium doped systems and the non-occurrence of this phase in sodium doped systems are analyzed via the Gutzwiller approximation in a degenerate Hubbard model. By using interaction parameters and bandwidths derived from INDO-CI calculations in the molecular agglomeration approach, in models similar to those presented previously by Coutinho, Canuto, Mota and Fazzio, the metal-insulating transitions are discussed in these systems.