The aim of this study was to investigate the views of 100 primary school teachers regarding the proposal of assigning two principals in Greek primary schools, one responsible for managerial duties and one to assume the pedagogical responsibilities. Teachers from the metropolitan area of Athens completed an online self-report questionnaire between February and March 2021. The questionnaire was constructed by the researchers for the needs of the present study based on theory and research on the field. The results showed that there is a positive attitude toward the notion that two principals would be better than one. However, most participants were apprehensive of the possible professionalization of the principal’s role. This probably indicates that the Greek educational system is not ready to accept this proposal. Educational policy leaders and academic program planners of higher education institutions could consider the findings of this study when designing educational programs aiming to prepare adequately future school principals.