Glváč said the prime ministers of the four ex-Warsaw Pact countries would discuss the plan at their talks in June. He did not say when exactly the common airspace protection would be launched.
Czech Defense Minister Martin Stropnický said he considers the common skies a crucial project.
He said legislation and technologies must be harmonized, and air bases and logistics must be developed.
Slovakia and the Czech Republic have already agreed to protect their airspace together.
In their joint statement, the V4 defense ministers said pledged to keep increasing security in Ukraine through military training and humanitarian aid, the ČTK report said.