  In the present work, we have incorporated the microscopic relativistic
nuclear potential obtained from recently developed relativistic R3Y NN
potential in the coupled channels code CCFULL to study the fusion dynamics. The
R3Y NN-potential and the densities of interacting nuclei are obtained for the
relativistic mean-field approach for the NL3$^*$ parameter set. It is to be
noted that the R3Y NN potential can be expressed in terms of masses of the
mesons and their couplings by considering the meson degrees of freedom within
the relativistic mean field, which has a form similar to the widely used M3Y
potential. We focused on the fusion cross-sections for $Oxygen$-based reactions
with targets from different mass regions of the periodic table i.e. $^{16}$O +
$^{24}$Mg, $^{18}$O + $^{24}$Mg, $^{16}$O + $^{148}$Sm, $^{16}$O + $^{176}$Hf,
$^{16}$O + $^{176}$Yb, $^{16}$O + $^{182}$W, and $^{16}$O + $^{186}$W. A
comparison is also made with the ones calculated using the nuclear potential
obtained from the traditional Woods-Saxon potential and the widely used M3Y NN
potential within CCFULL. The coupled channel calculations are performed with
shape and rotational degrees of freedom to examine the fusion enhancement at
below-barrier energies. It is observed from the calculations that the fusion
cross-sections obtained using R3Y NN potential with rotational degrees of
freedom are found to be more consistent with the experimental data than those
for the M3Y and Woods-Saxon potentials mainly at below barrier energies.
