  The Large High Altitude Air Shower Observatory (LHAASO) is a next-generation
observatory for high energy gamma rays and cosmic rays with wide field of view.
It will detect gamma rays with high sensitivity in the energy range from 300
GeV to 1 PeV. Therefore, it is promising for LHAASO to search for the
high-energy gamma rays induced by dark matter (DM) self-annihilation in dwarf
spheroidal satellite galaxies (dSphs), which are ideal objects for the DM
indirect detection. In this work, we investigate the LHAASO sensitivity to DM
self-annihilation signatures for 19 dSphs and take the uncertainties on the
spatial DM distribution of dSphs into account. We perform a joint likelihood
analysis for the 19 dSphs and find that the LHAASO sensitivity to the DM
annihilation cross section will reach $\mathcal{O}(10^{-24})\sim
\mathcal{O}(10^{-25})$ cm$^3$ s$^{-1}$ at the mass scale above TeV for several
annihilation modes, which is larger than the canonical thermal relic cross
section by a factor of 10 to 100.
