We report the Ni L2,3-edges magnetic circular dichroism measurements of the ZnxNi1-xFe2O4 (x = 0.0, 0.26, 0.50, and 0.75) ferrimagnet. The Ni average magnetic moments were found to decrease significantly with increasing Zn content. This observation is interpreted in terms of the Yafet-Kittel type canting of the Ni magnetic moment and shows values greater than those of the Fe magnetic moment determined from Mössbauer and neutron diffraction measurements. This work provides new information on the effect of Zn doping of Ni-O-Ni and Fe-O-Fe superexchange couplings.