  The geodetic VLBI technique is capable of measuring the Sun's gravity light
deflection from distant radio sources around the whole sky. This light
deflection is equivalent to the conventional gravitational delay used for the
reduction of geodetic VLBI data. While numerous tests based on a global set of
VLBI data have shown that the parameter 'gamma' of the post-Newtonian
approximation is equal to unity with a precision of about 0.02 percent, more
detailed analysis reveals some systematic deviations depending on the angular
elongation from the Sun. In this paper a limited set of VLBI observations near
the Sun were adjusted to obtain the estimate of the parameter 'gamma' free of
the elongation angle impact. The parameter 'gamma' is still found to be close
to unity with precision of 0.06 percent, two subsets of VLBI data measured at
short and long baselines produce some statistical inconsistency.
