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We study observable signals from dark matter that self-annihilates via theSommerfeld effect in dwarf spheroidal galaxies (dSphs). Since the effect of theSommerfeld enhancement depends on the velocity of dark matter, it is crucial todetermine the profile of dSphs to compute the J-factor, i.e., the line-of-sightintegral of density squared. In our study we use the prior distributions of theparameters for satellite density profiles in order to determine the J-factor,making most out of the recent developments in the N-body simulations andsemi-analytical modeling for the structure formation. As concrete models, weanalyze fermionic dark matter that annihilates via a light scalar and Wino darkmatter in supersymmetric models. We find that, with the more realistic priordistributions that we adopt in this study, the J-factor of the most promisingdSphs is decreased by a factor of a few, compared with earlier estimates basedon non-informative priors. Nevertheless, the Cherenkov Telescope Array shouldbe able to detect the thermal Wino dark matter by pointing it toward bestclassical or ultrafaint dSphs for 500 hours.

Sommerfeld-enhanced dark matter searches with dwarf spheroidal galaxies