We have investigated the effect of viscosity on the gluonic dissociation of
J/psi in an equilibrating plasma. Suppression of J/psi due to gluonic diss
ociation depend on the temperature and also on the chemical equilibration r
ate. In an equilibrating plasma, viscosity affects the temperature evolutio
n and also the chemical equilibration rate, requiring both of them to evolv
e slowly, compared to their ideal counter part. For Au+Au collisions at RHI
C and LHC energies, gluonic dissociation of J/psi increases for a viscous p
lasma. Low P-T J/psi 's are found to be more suppressed due to viscosity th
an the high P-T ones. Also the effect is more at LHC energy than at RHIC en
ergy.