  We study jet quenching in $pp$ and $pA$ collisions in the scenario with
formation of a mini quark-gluon plasma. We find a significant suppression
effect. For light hadrons at $p_{T}\sim 10$ GeV we obtained the reduction of
the spectra by $\sim [20-30,25-35,30-40]$\% in $pp$ collisions at
$\sqrt{s}=[0.2, 2.76,7]$ TeV. We discuss how jet quenching in $pp$ collisions
may change the predictions for the nuclear modification factors in $AA$
collisions for light and heavy flavors. We also give predictions for
modification of the photon-tagged and inclusive jet fragmentation functions in
high multiplicity $pp$ events.
