European Council President Charles Michel, top of screen, takes part in an EU Summit, via videoconference link, at the European Council building in Brussels, Thursday, Feb. 25, 2021.
The leaders also said that restrictions, including on travel, should remain in place in many parts of the 27-nation bloc.
The EU has partly blamed supply delays for lagging far behind nations like Israel, the United States and Britain when it comes to vaccinations.
By early this week, 6.5% of the adults living in the EU had been vaccinated, compared to more than 27% in the U.K.
He also raised concern about other issues, like the exclusion of those who have not been vaccinated, or cannot be.