This study aims to examine the relationship between burnout and dentists’ intentions to change careers during the COVID-19 pandemic. The MBI-Human Services Survey for Medical Personnel—MBI-HSS (MP) was used to measure burnout levels and investigate how they relate to dentists’ intentions to change their profession. The sample included 69 Romanian dentists, 56 of whom were women and 13 of whom were men. Self-reported questionnaires provided to the participants were used to collect the data. Female participants reported higher levels of emotional Exhaustion and Depersonalisation than males. However, there were no substantial differences in Personal Accomplishment levels between genders. As for the intentions to change careers, 41 expressed a clear intention to change their profession, 15 were still determining if they would choose the same speciality, and 28 indicated they would not choose the medical field. The study’s findings provide insight into how dentists’ thoughts about perceived burnout during the COVID-19 pandemic significantly influenced their attitudes regarding their career paths. The results suggest concerns regarding burnout in the dental field and emphasise the necessity for burnout interventions and support services, particularly during healthcare crises. Further research and interventions to mitigate burnout and promote well-being among dentists are needed to ensure the sustainability and quality of dental healthcare services in Romania.