In sensorless drives of high-speed permanent magnet synchronous motor (PMSM), delays due to sampling and rotor motion inevitably deteriorate the control system. Classical dq-frame-based deadbeat predictive current control (DPCC) with delay compensation still suffers from voltage errors at very high speeds withlow switching-to-fundamental frequency ratios (SFRs), which further results in the estimated position and speed information deviating from the actual motor signals. To solve this problem, a sensorless DPCC strategy based on flux tracking is proposed in this paper, which aims at stator flux vector tracking to achieve DPCC of dq-axis currents and avoids the voltage error caused by coordinate transformation meanwhile the stator flux observer is employed to estimate the rotor position. The effectiveness of the proposed method has been verified by extensive simulations on a high-speed PMSM drive of 30,000 rpm.