In this work a study of multistep model predictive direct current control in high switching frequency range will be presented. The optimization problem underlying this control approach is represented by an integer least-square problem, which can be solved by the sphere decoding algorithm. In this paper, the system performance, both in transient and steady-state will be analysed in such a way, that a direct current controller can be obtained for an induction motor operated by a two-level voltage source inverter in high dynamic drive applications, which achieves higher dynamics when compared to the classic modulation based schemes and lower current distortion than other direct control approaches.