  The problem of determining the post-Newtonian parameter $\gamma$ in massive
scalar-tensor theories is considered. We demonstrate equivalent correspondence
between the post-Newtonian parameter $\gamma$ and the parameter appearing in
the equation of null geodysic in massive scalar-tensor theories. We show that
massive scalar-tensor theories can be distinguished from general relativity
based on the predictions of Shapiro time delay. All calculations are presented
using hybrid metric-Palatini f(R)-gravity as an example. The expression for
Shapiro time delay in hybrid f(R)-gravity is obtained for the first time.
