  Intermittency, measured as log(F(r)/3), where F(r) is the flatness of
velocity increments at scale r, is found to rapidly increase as viscous effects
intensify, and eventually saturate at very small scales. This feature defines a
finite intermediate range of scales between the inertial and dissipation
ranges, that we shall call near-dissipation range. It is argued that
intermittency is multiplied by a universal factor, independent of the Reynolds
number Re, throughout the near-dissipation range. The (logarithmic) extension
of the near-dissipation range varies as \sqrt(log Re). As a consequence,
scaling properties of velocity increments in the near-dissipation range
strongly depend on the Reynolds number.
