Objective: The outbreak of COVID-19 brings an overload of physical and mental demands to healthcare professionals. Keeping healthcare professionals sustainable, engaged, and performing at their highest levels becomes critical and nonetheless difficult. The objective of this research is to link the literature on organizational climates, corporate social responsibility, safety science, and work engagement, and propose a research framework that investigates the factors influencing healthcare professionals’ engagement during COVID-19. Methodology: We propose that when healthcare workers’ career callings are triggered by COVID-19, it influences their perceptions of the work’s meaningfulness, which ultimately enhances their work engagement. We argue that creating a social responsibility climate and a safety climate inside the hospital facilitates the process of turning healthcare workers’ perceived work meaningfulness into work engagement. We collected data from 112 healthcare professionals, including nurses, doctors, and executive staff, from 16 wards in a public hospital in China to test our hypotheses. Results: Hierarchical linear regression analysis provided empirical support for our research model. We find that healthcare professionals’ career callings during COVID-19 enhanced their perceived work meaningfulness, which results in increased work engagement. Moreover, a social responsibility climate and a safety climate strengthens the link between work meaningfulness and work engagement among participants. Conclusions: Creating a social responsibility climate and a safety climate in the workplace are effective management approaches to realize healthcare workers’ feelings of work meaningfulness and turn them into work engagement.