  We study the temperature dependence of the ratio of the shear viscosity to
entropy density for the LQCD-contrasted hadron resonance gas of different
finite system-sizes, which may represent the final state hadronic matter,
formed in systems of ultra-relativistic collisions. The transport coefficient
reaches the lowest common value, for the systems of different sizes of
thermalized hadron gas, near the critical temperature $T_{c}$ of the QCD
crossover.
