  We analyze the possibility that the HESS gamma-ray source at the Galactic
Center could be explained as the secondary flux produced by annihilation of TeV
Dark Matter (TeVDM) particles with locally enhanced density, in a region
spatially compatible with the HESS observations themselves. We study the inner
100 pc considering (i) the extrapolation of several density profiles from
state-of-the-art N-body + Hydrodynamics simulations of Milky Way-like galaxies,
(ii) the DM spike induced by the black hole, and (iii) the DM particles
scattering off by bulge stars. We show that in some cases the DM spike may
provide the enhancement in the flux required to explain the cut-off in the HESS
J1745-290 gamma-ray spectra as TeVDM. In other cases, it may helps to describe
the spatial tail reported by HESS II at angular scales < 0.54 degrees towards
Sgr A.
