  We revisit the standard treatment [Xu, Kharzeev, Satz and Wang, Phys. Rev. C
{\bf 53}, 3051 (1996)] of $J/\psi$ suppression due to gluonic bombardment in an
equilibrating quark-gluon plasma. Effects arising from gluon fugacity, relative
$g-\psi$ flux, and $\psi$ meson formation time are correctly incorporated in
the formulation of the gluon number density, velocity-weighted cross section,
and the survival probability. Our new formulae are applied to numerically study
the pattern of $J/\psi$ suppression in the central rapidity region at RHIC/LHC
energies. The temperature and transverse momentum dependence of our graphs have
noticeable differences from those of Xu et al.
