  In proton-nucleus and nucleus-nucleus collisions up to central $S-U$
interactions, the $P_T$-dependence of $J/\psi$ production is determined by
initial state parton scattering and pre-resonance nuclear absorption (``normal"
$J/\psi$ suppression). The ``anomalous" $J/\psi$ suppression in $Pb-Pb$
collisions must reduce the normal $P_T$ broadening, since it occurs mainly in
the central part of the interaction region, where also initial state parton
scattering and nuclear absorption are strongest. We thus expect for $< P_T^2 >$
in $Pb-Pb$ collisions a turn-over and decrease with increasing $E_T$.
