The Flexible Resource Manager (FRM) is a dynamic resource management approach that allows a better utilization of the available resources. However, it necessitates an atomic reconfiguration process that must not violate hard timing constraints. This paper exploits the deadline assignment rule of the Total Bandwidth Server (TBS) to schedule reconfiguration, and it formally shows that there exists a minimum task period for which atomicity and schedulability can be guaranteed. With this solution, real-time system engineers have the tools at hand to design their tasks to exploit the benefits of the FRM with hard real-time constraints. a a This work was developed in the course of the Collaborative Research Center 614 - Self-Optimizing Concepts and Structures in Mechanical Engineering - Paderborn University, and was published on its behalf and funded by the Deutsche Forschungsgemeinschaft.