Since the onset of the COVID-19 pandemic, healthcare workers, especially those employed in hospital settings, have been exposed to a variety of stressors in the workplace. The aim of this study was to explore the Emotional Exhaustion (EE) of workers in geriatric facilities during the COVID-19 crisis. We accordingly sought to investigate the short-term impact of the COVID-19 pandemic in terms of the EE experienced by workers in geriatric facilities, and to examine the manner in which psychosocial conditions and fear of COVID-19 in the workplace have affected EE. Surveys were administered in the midst of the COVID-19 crisis (October to December 2020). The study included 118 French healthcare workers with a mean age of 35.61 ± 0.73 recruited in geriatric facilities. We assessed EE, psychosocial conditions (e.g., demands at work, health and well-being, etc.) and fear of COVID-19 in the workplace. The analysis yielded two main outcomes. First, 34.75% workers (41) reported severe levels of EE. Second, demands at work and the fear of COVD-19 increased EE. Health and well-being were, however, demonstrated to protect against EE. Furthermore, fear of COVID-19 was shown to contribute significantly to EE healthcare workers in geriatric facilities. It is likely that Covid-19 indirectly contributes to EE by influencing demands at work.