Background/Objectives: Our research paper aims to analyse the relationship between the perceived impact on mental health due to the COVID-19 pandemic, social well-being, and psychological well-being among social work students. As we transition from the pandemic phase to an endemic phase of COVID-19, it is necessary to examine these aspects, recognizing the interdependence and complementarity of social and medical care within the healthcare system. Methods: The research was conducted nearly three years after the lockdown measures imposed by the spread of COVID-19, during a period when onsite academic activities had resumed, as they were prior to the pandemic. The sample consisted of 235 social work students from both bachelor’s and master’s programmes studying at a large university in Romania. Data was collected between December 2022 and January 2023, during a time when onsite educational activities were once again taking place. Results: Our results show that, despite the significant amount of time that had passed since the pandemic began, its negative effects were still strongly felt on a psychosocial level. Conclusions: This finding leads us to conclude that there is a long-term COVID-19 impact on mental health. Most study participants reported experiencing high (42.10%) or moderate (23%) levels of being mentally affected, which also affected their psychological and social well-being, key factors in preparing future social-medical care professionals to provide adequate integrated healthcare services.