In this paper, a small gain result is presented for a class of discrete-time time-varying Markovian jump systems with state-dependent and input-dependent noise. Using the stabilizing solutions of some generalized Riccati equations, the result is obtained based on a Lyapunov type argument. As an application of the proposed small gain result, we discuss the problem of robust stability and robust state-feedback stabilization of the considered class of stochastic systems via the stability radius concept.