  The recent global fit of short baseline neutrino oscillation data favors the
presence of one (or more) sterile neutrino state which leads to new mass
splitting \Delta m^2 ~1 eV^2. We consider the effect of this new states on the
evolution of neutrinos from the dark matter annihilation inside the Sun. We
show that neutrinos with energy E_\nu > 100 GeV undergo resonant active-sterile
oscillation which depletes the flux of neutrinos arriving at the Earth. As an
example of this effect, we present the oscillation probabilities for the case
of monochromatic neutrinos from the direct annihilation of dark matter
particles to neutrinos and the depletion due to the presence of sterile
neutrinos.
