The nature of dark matter still evades us. In this talk, I will focus on
the gamma-ray flux from dark matter annihilation, which has been tagged as
a promising channel for indirect detection. I will first present CLUMPY, a
new public code we developed to compute the gamma-ray flux from any dark
matter distribution and instrumental resolution. In the second part of the
talk, I will present the recent study we conducted on the detectability of
such a signal in the classical dwarf spheroidal galaxies of the Milky Way,
based on an MCMC analysis of the kinematical data. I will conclude by
providing a new ranking in terms of detectability of these objects for
present and future gamma-ray observatories.