"If this is to close, and that seems to be imminent, that would mean that another million people would want to cross the border and seek refuge into Turkey and from there through to Greece," Kenny told reporters before the summit, stressing that he would discuss this issue with the Turkish prime minister.
Earlier this month, reports emerged claiming that the border crossing was being shut by the Turkish authorities.
Syria has been in a state of civil war since 2011, with the army loyal to President Bashar Assad fighting several opposition factions and militant organizations.
According to the UN refugee agency, 6.6 million Syrians are displaced inside the conflict-torn Arab republic, while about 4.6 million people fled the country, triggering a massive refugee crisis in the European Union.
The EU border agency Frontex recorded more than 1.83 million illegal border crossings into the European Union in 2015.
