  Microfludic channels are now a well established platform for many purposes,
including bio-medical research and Lab on a Chip applications. However, the
nature of flow within these channels is still unclear. There is evidence that
the mean drift velocity in these channels deviates from the regular
Navier-Stokes solution with `no slip' boundary conditions. Understanding these
effects, is not only of value for fundamental fluid mechanics interest, but it
also has practical importance for the future development of microfluidic and
nanofludic infrastructures. We propose a nano-NMR based setup for measuring the
drift velocity near the surface of a microfludic channel in a non-intrusive
fashion. We discuss different possible protocols, and provide a detailed
analysis of the measurement's sensitivity in each case. We show that the
nano-NMR scheme outperforms current fluorescence based techniques.
