Burnout affects many healthcare professionals, especially nurses, causing serious health problems and disrupting the work environment. Academic burnout may also be experienced, leading students to feel unable to cope with their education. As a result, they may lose interest and even consider abandoning their studies. Hence, burnout syndrome can affect both the mental health and the professional future of those affected. To evaluate academic burnout in nursing students who had no clinical experience before starting their practical training, a cross-sectional study involving 212 third-year nursing students at the University of Granada was conducted. Data were collected using the Granada Burnout Questionnaire, the Utrecht Work Engagement Scale, the NEO Five-Factor Inventory, the Hospital Anxiety and Depression Scale, and the Fear of CoronaVirus-19 Scale. High levels of burnout were present in 37.8% of the students. Moreover, 21.5% and 8.7% had borderline cases of anxiety or depression, respectively. Another 30.8% and 9.2%, respectively, were considered likely to present these conditions. According to the predictive models of burnout dimensions obtained, neuroticism is a predictor of all three burnout dimensions. Furthermore, anxiety, depression, extraversion, responsibility and engagement are predictors of some dimensions of the syndrome. Many nursing students present high levels of burnout, which is related to certain personality variables and to the presence of anxiety and/or depression. The level of professional engagement is inversely associated with the impact of burnout. The participants in this study have normalised their return to the pre-pandemic study routine (in-person classes), and fear of COVID-19 was not a significant predictor of any dimension of burnout.