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Elastic scattering cross sections for the halo nucleus 11Be incident on 64Zn in vicinity of Coulomb barrier are calculated using the microscopic double folding model. The parametrized densities taking into account for the halo part are folded with the effective nucleon-nucleon interaction (M3Y) to yield the microscopic double folded potential. The dynamic polarization potential has been computed using the dipole strength distribution from the cluster model and from experiments. The calculated differential cross section with the inclusion of the imaginary part of the dynamic polarization potential to the double folded potential show a suppression in the Coulomb-nuclear interference region.