We study annihilation radiation of neutralinos in the Galactic centre , assuming the existence of a ’ spike ’ in the dark matter density profile , due to adiabatic accretion onto the massive black hole lying at the Galactic centre . Under this assumption we find that it is possible to reproduce the observed SgrA* emission at radio and gamma-ray frequencies in a consistent scenario with a magnetic field close to the equipartition strength and with values of \gamma ( the density profile power law index ) around 0.1 .