In a very rencent paper, Lou and Cui investigated the stochastic stability of Markovian jumping Hopfield neural networks with Wiener process by LMI approach. Unfortunately, the main results derived by them are somewhat errors. In this note we point out that global Lipschitz condition on the activation functions should be revised. Moreover, we present some improved sufficient conditions which are less conservative than those in the above paper in term of linear matrix inequality(LMI). An numerical example is given to illustrate the theory.