We argue that in the large N_c HQET, the masses of the s-wave low-spin heavy
baryons equal to the heavy quark mass plus proton mass approximately. To the
subleading order, the heavy baryon mass 1/N_c expansion not only has the same
form, but also has the same coefficients as that of the light baryon. Based on
this, numerical analysis is made.Comment: 7 pages, latex, no figures, to appear in Phys. Lett.