In the paper, the scope for the search of the Balitsky–Fadin–Kuraev–Lipatov (BFKL) evolution effects at future proton-proton colliders at center-of-mass energies of 14, 27 and 100 TeV has been analyzed for processes of dijets production with a large jet separation in rapidity at a dijet. Simulation of proton-proton collisions using Monte Carlo calculations performed with generator packages PYTHIA8 and HERWIG++ based on Dokshitzer–Gribov–Lipatov–Altarelli–Parisi evolution and with generator package HEJ+ARIADNE based on BFKL approach was carried out. The simulation observations pointed to a promise to reveal the BFKL effects experimentally under conditions established at future proton-proton colliders.