  We consider the dissociation of heavy quarkonium in a medium close to thermal
equilibrium but with a small momentum space anisotropy. Dissociation is defined
to take place when the width of the ground state equals its binding energy. We
show that if the anisotropic medium is obtained isentropically from the
equilibrium one, then to first order in the anisotropy parameter the
dissociation temperature remains unchanged. If, in contrast, the
non-equilibrium system has a smaller entropy density than the equilibrium one,
then the dissociation temperature increases with respect to the isotropic case,
by up to 10% for modest anisotropies.
