vortex spectrum becomes larger than the CdGM value. This effect was argued to lead to the disappearance of the anomalous spectrum branch when the vortex approaches the surface. In the present paper we have confirmed this prediction by calculating LDOS profile for the entire range of distances from the vortex to surface. We have found an amazing effect for such system: as the vortex approaches the surface the zero-bias peak of LDOS shifts from the vortex center to the surface point positioned at the minimal distance to the vortex center. For the particular vortex core model that we have used in this paper the shift of the LDOS peak occurs when the distance from vortex to surface is $0.85\xi$. Experimentally the LDOS peaks positioned very close to the superconductor boundary have been recently observed in vortex state of tungsten (W) based thin films by scanning tunneling microscopy/spectroscopy techniques[@Suderow-2009]. Note that in the latter experiment LDOS vortex peaks have been studied near the superconductor/normal metal (Au) interface. We suppose that the normal scattering of quasiparticles at such boundary caused by either the Fermi velocity mismatch or some surface barrier can result in the transformation of the LDOS profiles analogous to the 