The aim of this work is to provide Higher Education Institutions an entrepreneurial management model (management framework), that will provide them with an entrepreneurial maturity scoring or level, and giving some recommendations to get to a higher maturity level. First and foremost, the overview of existing literature of Technological Academic Entrepreneurship has been developed. Following to that, the most influential factors in entrepreneurial maturity in universities have been identified and selected. Finally, the management model has been designed, in order to help the higher education institutions that are seeking to foster entrepreneurship in their institutions.