The emerging theory of model-free control (MFC) has presented an ultra-local modeling approach for systems, which is independent of the system parameters. This paper proposes a model-free based predictive voltage control for the induction motor (IM) drive. In this method, replacing the classic mathematical model of IM with an ultra-local model provides a good possibility of achieving a robust predictive control. Generally, MFC requires an online identification technique to design the parameters of the ultra-local model. In this paper, to avoid the complex designing procedure of MFC, a linear extended state observer (LESO) is utilized to construct the ultra-local model of IM. Moreover, the proposed scheme is implemented in finite-set predictive voltage control, which doesn't require a modulation technique. The evaluation of the proposed method is made through the simulation.