  A thick dark matter disk is predicted in cold dark matter simulations as the
outcome of the interaction between accreted satellites and the stellar disk in
Milky Way sized halos. We study the effects of a self-interacting thick dark
disk on the energetic neutrino flux from the Sun. We find that for particle
masses between 100 GeV and 1 TeV and dark matter annihilation to heavy leptons
either the self-interaction may not be strong enough to solve the small scale
structure motivation or a dark disk cannot be present in the Milky Way.
