  The velocity dependence of the thermal width of heavy quarkonia traveling
with respect to the quark gluon plasma is calculated up to the NLO in
perturbative QCD. At the LO, the width decreases with increasing speed, whereas
at the NLO it increases with a magnitude approximately proportional to the
expectation value of the relative velocity between the quarkonium and a parton
in thermal equilibrium. Such an asymptotic behavior is due to the NLO
dissociation cross section converging to a nonvanishing value in the high
energy limit.
