Previous research in teaching contexts other than Higher Education (HE) has shown that teachers struggle with stress, burnout, and intention to leave the profession. There is rather scarce evidence that HE teachers’ wellbeing is affected by their teaching processes. Thus, in this case study, how HE teacher educators’ (N = 83) risk of burnout is related to their approaches to teaching, their intention to leave teaching in HE, and the stress experienced during the COVID-19 pandemic have been investigated. Based on the correlations and regression analyses of the survey data, the results showed that the COVID-19 pandemic had increased the work stress of over half of the HE teacher educators, but only a few suffered from burnout and had intended to leave teaching in HE. The risk of teachers suffering from burnout was negatively related to having an interactive teaching approach, and positively related to having an unreflective teaching approach. Both intending to leave teaching and the stress experienced during the COVID-19 pandemic predicted HE teacher educators’ risk of burnout. This study has shown the importance of conducting more research on university teachers’ wellbeing.