This study investigates innovation as a cause of highly skilled migration. Drawing on a totally new database that includes all the Greek PhD holders, combined with panel data from the Global Innovation Index covering 57 countries over the 2009–2020 period, we find that innovation constitutes a strong determinant for highly skilled migration. That is, a rise in innovative performance is positively associated with an increase in the number of highly skilled Greek migrants. We further find a two-way causality between innovation and highly skilled migration. Namely an increase in the number of highly skilled Greek migrants positively affects innovative performance. While most of the recent studies have comprehensively addressed the positive effects of skilled migration on innovation, they have not looked at innovation as a determinant of highly skilled migration. We further discuss the potential implications of our findings on countries displaying low innovative performance coupled with brain drain.