  We discuss an apparent correlation between the onset of the rising regime for
the total cross-sections and the slowdown of the rise of the forward slopes
with energy. It is shown that even at highest energies achieved with the LHC
the proper sizes of the colliding protons comprise the bulk of the the
interaction region. This seems to witness that the "asymptopia" - a
hypothetical "truly asymptotic" regime - lies at energies no less than
$\mathcal{O}$(100 TeV). In the course of reasoning we also discuss the question
of the dependence of the effective sizes of hadrons in collision on the type of
their interaction.
