A dense parton system is expected to be formed in the early stage of relativistic heavy-ion collisions at RHIC energies and above. The probability of a quark–gluon plasma production and the resulting strength of its signatures depends strongly on the initial conditions associated to the distributions of partons in the nuclear wave functions. At very high energies, the growth of parton distributions should saturate, possibly forming a Color Glass Condensate, which is characterized by a bulk momentum scale Qs. As a direct consequence, the possible signatures of the QGP should be Qs-dependent if the saturation scenario is valid for RHIC and LHC. In this Letter we assume the saturation scenario for the QGP formation and estimate the saturation scale dependence of quarkonium suppression. We conclude that, if this scenario is valid, the ϒ suppression only occurs at large values of Qs.