Driven by continuous technological achievements and the growing demand for sustainable transportation, electric vehicles (EVs) are undergoing rapid expansion. Among various electric machine options, electrically excited synchronous machines (EESMs) have emerged as a compelling alternative to permanent magnet synchronous machines (PMSMs), as they eliminate the reliance on non-recyclable rare-earth materials. However, achieving precise control of both stator and field currents in EESMs remains a significant challenge, largely due to the strong mutual coupling between the stator and field windings. To address this issue, a new model predictive current control (MPCC) method specifically designed for EESMs is proposed in this paper. In the proposed method, both winding self- and mutual- inductances are incorporated into the EESM electric model during the current prediction step. Compared to traditional proportional-integral (PI) control, this approach can significantly enhance control precision and effectively mitigate current spikes during fast-dynamic transients.