Shell-model calculations have been performed on57–59Ni. All configurations with one hole in thef7/2 orbit have been included exactly. The results of a newly proposed approximation method are in good agreement with those of the exact calculations, when applied to the predominant zero-hole states. The experimental results are compared with those of the realistic Kuo-Brown interaction and the schematic Surface Delta Interaction. The role of thef5/2 orbit differs significantly for these two interactions. The results show thatf7/2 hole contributions strongly improve the description of the Ni isotopes.