The fact that many Russian universities offer a wide, but often similar, range of educational services substantiates stiff competition between them, which aggravated in the conditions of protracted global COVID-19 pandemic due to the need for rapid implementation of the tools and methods of distance learning. The educational institutions compete for not only students, by their admission to each specific discipline. The goal is set to analyze the competitive positions and opportunities of the university on the market of educational services in the Russian Federation. The subject of this research is Kazan Innovative University named after V. G. Timiryasov. The research methodology leans on the general theoretical methods, as well as 7P and SWOT analysis. As a result, the author determines the merits and flaws of the university, market opportunities and threats; as well as offers the vectors for improving on the market of educational services. The acquired conclusions on the need to expand the material base, increase the academic degree holders rate, involvement in the grant mechanism, and integration into the real sector of economy are relevant for a great many universities in the Russian Federation.