This article shows the relationship between the professionalization of the tasks involved in running a teaching establishment and developing Educational Administration as a field of study. It establishes that the existence of a field of knowledge recognized as scientific, as well as a codified group of accepted practices, is a necessary condition for the professionalization of an occupation. The article also explains why the professionalization of management is justified, though it is not established, and why a field of study should be developed. It then presents five conditions which could facilitate this development: the production of original knowledge from the Educational Administration milieu; the benefit of professional training or development programs in Educational Administration with the characteristics of university programs: university credits devoted exclusively to Educational Administration; gathering knowledge producers into groups that have sufficient critical mass; intense and diversified networking among practical milieus, professional associations, and university milieus.