Solid-state hydrogen storage in the form of a metal hydride has emerged as a safe and low-pressure storage solution with a competitive volumetric energy density. In this technology, hydrogen is stored in a hydride-forming metal, specifically, LaNi4.9Sn0.1 metal hydride in this study, through exothermic absorption, which can then be discharged through endothermic desorption. This results in a complex system where the rate of sorption is dependent on external factors as well as internal factors, making control of the unit difficult. This study focuses on the sensitivity analysis of a metal hydride reactor to deepen the understanding of the unit’s operation outside of normal operation conditions. This was done using an experimentally validated computational fluid dynamics model, which reduces risks to the unit and costs of taking the unit out of circulation to conduct this study. The simulation model performed to satisfactory levels with an R-squared of greater than 0.9 and minimal mean squared error. The sensitivity analysis showed that during hydrogen charging, there is a slowing effect experienced at higher cooling fluid temperatures with an accelerating effect at higher feed gas pressures. The sensitivity analysis showed a similar relationship, just inverse, was observed during hydrogen discharging, with the required gas pressure slowing the rate of hydrogen flow and higher heating fluid temperatures accelerating the hydrogen flow rate. Finally, the sensitivity analysis showed that there is a certain innate thermodynamic limit beyond which the operation slows to a crawl or stops completely.