The solutes m-dichlorobenzene, o-dichlorobenzene. p-dichlorobenzene, o-dicyanzene, furan, tetrathiofulvalene, and fluorobenzene are studied in the zero electric field gradient mixtures 56.5 wt % 1132/EBBA and 70 wt % 5CB/EBBA using proton NMR. The two second-rank-order parameters obtained for each solute from analysis of the NMR spectra indicate that the solutes experience a similar anisotropic potential in both mixtures. The results are interpreted in terms of two models for the short-range anisotropic potential experienced by the solutes.