This study examined the perception of the teaching profession among students of social sciences and languages who were finishing their undergraduate studies and intended to continue their studies with a master’s degree. A subgroup of students planning to study for a master’s degree in teaching reported on their motivation to teach and their satisfaction with their career choice, while a subgroup of students who planned to pursue a master’s degree programme without a teaching degree responded to an open-ended question about why they did not want to become teachers. Participants answered the FIT-Choice Scale, which measures twelve motivational factors and six perceptions about the teaching profession. Students recognised teachers’ expertise; however, social status and salary were rated lower, indicating an imbalance between demands and rewards in the teaching profession. Altruistic and intrinsic motives were the main reasons for choosing the teaching profession. Students who will study teaching also rated their ability to become a teacher highly. Extrinsic factors (job transferability, teaching as a fallback career and time for family) were less important. Qualitative thematic analysis of the responses of students who will not study to become a teacher revealed that low intrinsic value (e.g., disinterest in teaching) and low personal utility value (e.g., better professional development elsewhere) were the most common themes. The high job demands due to demanding interactions with children and parents were also mentioned, while the teacher education programme was perceived as excessively extensive. The implications of the study highlight important considerations for policymakers and teacher education programmes.