  In this note we study the radius of convexity (hence univalency) of the
Volterra--type integral operator \begin{equation*}
  T_gf(z)=\int_{0}^{z}f(s) g'(s) {\rm d}s\quad(|z|<1), \end{equation*} on the
spaces of analytic function $f$ in the open unit disc $|z|<1$.
