  We have measured the projected rotational velocities (v sin i) of the mass
donors for 29 S-type symbiotic stars using high resolution spectroscopic
observations and the cross-correlation function (CCF) method.
  The results of the CCF have been controlled with synthetic spectra. The
typical rotational velocity of the K and M giants in S-type symbiotics appeared
to be 4.5 < vsini < 11.7 km/s. In a sub-sample of 16 S--type symbiotic stars
(with known orbital periods and well measured vsini) 15 have deviations from
synchronization less then the 3-sigma level. This means that we did not find
evidence for a statistically significant deviation from the synchronization for
any of these 15 objects. The deviation from synchronization is statistically
significant (at confidence level >99%) only for the recurrent nova RS Oph.
  For 22 S-type symbiotics we give clues as to what their orbital periods could
be.
