Organizational crisis can serve as a base to provide an opportunity to an organization for enhancing individuals, organizations, and communities. The healthcare sector is one of those sectors that remains under continuous pressure to provide high-quality service delivery to the patients. Hence, the requirement of innovation for this sector is huge when compared to other sectors. The majority of the previous studies have investigated the phenomenon of CSR at the employee’s level (CSR-E) to influence employee behavior positively. However, the importance of CSR-E to enhance the innovative capability of the employees at the workplace is not well-explored in extant literature. Moreover, it is not clear from previous studies how the concept of servant leadership can explain the employee’s engagement towards innovative work behavior (EIB). Thus, the current survey aims to test the relationship of CSR-E and EIB in the healthcare sector of Pakistan with the mediating effect of servant leadership. The data of the current study were obtained through a self-administered (paper-pencil) survey and they were analyzed through the structural equation modeling (SEM) technique. The empirical results of SEM analysis revealed that CSR-E and EIB are positively related and servant leadership partially mediates this relationship. The findings of the current study will be helpful for policymakers to improve their understanding towards CSR-E to induce EIB in the time of crisis. At the same time, the current study also highlights the importance of servant leadership to the policymakers in encouraging the employees to display their innovative capability at the workplace to serve their organization during the time of crisis.