Within the framework of the Wills-Harrison model, the effect of taking into account d-electron overlaps between two neighboring atoms off-diagonal in terms of the magnetic quantum number on the effective pair interaction in an equiatomic Cu-Ag melt near the melting point has been studied. It was found that an increase in the share of off-diagonal overlaps leads to an increase in the depth of the first minimum and to a shift of its coordinate towards smaller values of the interatomic distance for all three partial pair potentials.