This paper studies the double open-switch fault issue occurring within the conventional matrix converter driving a three-phase permanent-magnet synchronous motor system and proposes a fault-tolerant solution by introducing a revised modulation strategy. In this switching strategy, the rectifier-stage modulation is adjusted based on the knowledge of the switching logics of the inverter-stage and the operating input voltage sectors. However, the proposed fault-tolerant method does not rely on the assist of any redundant power devices or any reconfiguration of the matrix converter circuit by means of using redundant physical connections. It is shown that different locations of the double open switch affect the availability of the revised modulation. The steady state absolute speed error achieved with the proposed method is 4% of the nominal speed. Experimental results are performed to demonstrate the efficacy of the proposed methods.