The small-scale turbulence has the best prospect of being universal. The two similarity hypotheses of Kolmogorov (1941), known as K41, and Kolmogorov’s (1962) refined similarity hypothesis, or K62, have had a huge impact on small-scale turbulence research. Although K41 was praised for its simplicity and elegance, Kolmogorov proposed K62 mainly to account for the effect of the large scales on the small scales. It has been widely interpreted in the literature as a correction to K41 arising from the intermittency of the instantaneous energy dissipation rate. However, there are no valid reasons for abandoning K41. Analytical considerations, based on the Navier-Stokes equations, which take into account the finite Reynolds number effect, together with available experimental laboratory data, confirm a tendency towards the universal predictions of K41.