A dense parton system is expected to be formed in the early stage of relati
vistic heavy-ion collisions at RHIC energies and above. The probability of
a quark-gluon plasma production and the resulting strength of its signature
s depends strongly on the initial conditions associated to the distribution
s of partons in the nuclear wave functions. At very high energies, the grow
th of par-ton distributions should saturate, possibly forming a Color Glass
Condensate, which is characterized by a bulk momentum scale Q(s). As a dir
ect consequence, the possible signatures of the QGP should be Q(s)-dependen
t if the saturation scenario is valid for RHIC and LHC. In this Letter we a
ssume the saturation scenario for the QGP formation and estimate the satura
tion scale dependence of quarkonium suppression. We conclude that, if this
scenario is valid, the Y suppression only occurs at large values of Q(s). (
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