Using a nucleon–nucleon force of the type M3Y−Reid and an additional repulsive interaction which simulates the incompressibility effects of the nuclear matter, we have examined the effects of the repulsive core modeling on the interaction potentials and complete fusion cross-sections for 9Be + 124Sn and 9Be + 89Y systems. The adjusted parameters of this repulsive force have been chosen in such a way that fully explains the properties of the nuclear matter in the region where the nuclear densities of the interacting nuclei completely overlap. The results of our studies reveal that accounting for this correction in the calculations of the total potentials leads to improvement of calculated cross-sections and affects on the complete fusion suppression at above barrier energies.