  The cross sections of $\Upsilon$ absorption by $\pi$ and $\rho$ mesons are
evaluated in a meson-exchange model. Including form factors with a cutoff
parameter of 1 or 2 GeV, we find that due to the large threshold of these
reactions the thermal average of their cross sections is only about 0.2 mb at a
temperature of 150 MeV. Our results thus suggest that the absorption of
directly produced $\Upsilon$ by hadronic comovers in high energy heavy ion
collisions is unimportant.
