Analyzing recent ALICE data on inelastic pp scattering at the LHC energies, we show that charged particle distributions exhibit geometrical scaling (GS). We show also that the inelastic cross section is scaling as well and that in this case the quality of GS is better than for multiplicities. Moreover, exponent λ characterizing the saturation scale is for the cross-section scaling compatible with the one found in deep inelastic ep scattering at HERA. Next, by parametrizing charged particle distributions by the Tsallis-like formula, we find a somewhat unexpected solution that still exhibits GS, but differs from the “standard” one where the Tsallis temperature is proportional to the saturation scale.