  We evaluate the medium suppression of light hadron spectra in $pp$ collisions
at RHIC and LHC energies in the scenario with formation of a mini quark-gluon
plasma. We find a significant suppression effect. For $p_{T}\sim 10$ GeV we
obtained the reduction of the spectra by $\sim [20-30,25-35,30-40]$ % at
$\sqrt{s}=[0.2, 2.76,7]$ TeV. We also discuss how this phenomenon may change
the predictions for the nuclear modification factors for $AA$ and $pA$
collisions.
