  The NA50 collaboration has recently observed that the J/psi production rate
in Pb-Pb collisions decreases more rapidly as a function of the transverse
energy for the most central collisions than for less central ones. We show that
this phenomenon can be understood as an effect of transverse energy
fluctuations in central collisions. A good fit of the data is obtained using a
model which relates J/psi suppression to the local energy density. Our results
suggest that the J/psi is completely suppressed at the highest densities
achieved in Pb-Pb collisions.
