This technical note studies the nonlinear stochastic H-infinity control of Ito-type differential systems with all the state, control input and external disturbance-dependent noise ((x, u, v)-dependent noise for short). A sufficient condition is given for the finite/infinite horizon H-infinity control of such a system by means of an Hamilton-Jacobi inequality (HJI) instead of three coupled Hamilton-Jacobi equations (HJEs) as in previous literature.