Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension

Let $\pi :\text{X}\to \text{D}$ be a proper holomorphic submersion with connected fibers, and suppose that $X_t$ is biholomorphic to a fixed smooth Moishezon manifold $S$ for every $t\mathrm{\ne }0$. If $\kappa (S)\ge 0$, we prove that $X_0\simeq S$.