On August 23, 2016, Sovsun resigned from her post following a controversy involving an order that would have reduced staffing levels of the Ministry of Education and Science by up to 10%.

She has also been a full professor of the department of political science National University "Kyiv-Mohyla Academy", as well as co-founder and former director of the think tank CEDOS.

In 2009, together with like-minded people, she founded the non-profit think-tank CEDOS (formerly the Center for Society Studies), which she headed until, her appointment as Deputy Minister (2010-2014).

[12] From March 2014 to August 2016, Inna Sovsun held the position of Deputy Minister of Education and Science of Ukraine.

From 2015 to 2016, Sovsun was involved in drafting a law that would reform standards for pre-higher education, allowing for future graduates to attend the first year of European universities immediately after school.

However, some of the proposed reforms were also criticized because they would have resulted in the firing of "at least ten thousand" teachers, the shuttering of small rural schools, and the streaming of some students away from higher academic education and towards vocational training.

Inna was the ideological inspirer and head of the Master's Program in Public Policy and Governance at the Kyiv School of Economics, the first group of which began her studies in October 2017.