In this paper, we discuss the estimation of passivity based on input-output data without a system model. In the conventional data-driven estimation method based on the gradient approach, the convergence is slow and a large number of experiments is required. Therefore, we propose the method of reduction in the amount of data for data-driven passivity estimation to MIMO systems. Furthermore, we show the convergence property of the proposed method. In addition, through numerical simulations, the effectiveness of the proposed method is verified.