  We discuss the indirect detection of the wino dark matter utilizing gamma-ray
observations of dwarf spheroidal galaxies (dSphs). After carefully reviewing
current limits with particular attention to astrophysical uncertainties, we
show prospects of the wino mass limit in future gamma-ray observation by the
Fermi-LAT and the GAMMA-400 telescopes. We find that the improvement of the
so-called $J$-factor of both the classical and the ultra-faint dSphs will play
a crucial role to cover whole mass range of the wino dark matter. For example,
with $\delta (\log_{10}J) = 0.1$ for both the classical and the ultra-faint
dSphs, whole wino dark matter mass range can be covered by 15 years and 10
years data at the Fermi-LAT and GAMMA-400 telescopes, respectively.
