  We analyse medium-resolution spectra (R\sim 18000) of 19 late type dwarfs in
order to determine vsini-s using synthetic rather than observational template
spectra. For this purpose observational data around 2.2 $\mu$m of stars with
spectral classes from G8V to M9.5V were modelled.
  We find that the Na I (2.2062 and 2.2090 $\mu$m) and $^{12}$CO 2-0 band
features are modelled well enough to use for vsini determination without the
need for a suitable observational template spectra. Within the limit of the
resolution of our spectra, we use synthetic spectra templates to derive vsini
values consistent with those derived in the optical regime using observed
templates. We quantify the errors in our vsini determination due to incorrect
choice of model parameters \Teff, log $g$, $v_{\rm micro}$, [Fe/H] or FWHM and
show that they are typically less than 10 per cent. We note that the spectral
resolution of our data(\sim 16 km/s) limited this study to relatively fast
rotators and that resolutions of 60000 will required to access most late-type
dwarfs.
