Greek Prime Minister Kyriakos Mitsotakis on Thursday called on NATO to increase naval patrols in the Aegean after a threat by Turkey to allow more migrants to cross into Greece.

"I asked the secretary general and the alliance, and member states to strengthen their presence... in the Aegean Sea with more ships," Mitsotakis said after talks with NATO chief Jens Stoltenberg.

"We ask... for the mission to be expanded to the south Aegean so we can cover the full scope of our country's maritime borders," he said, adding that he would raise the issue at a NATO summit in December.

Turkish President Recep Tayyip Erdogan earlier threatened that Ankara would allow millions of refugees to head to Europe if the bloc criticised Turkey's ongoing military offensive in Syria.

NATO's General Secretary Jens Stoltenberg (L) speaks next to Greek Prime Minister Kyriakos Mitsotakis during a press conference after their meeting in Athens on October 10, 2019
NATO's General Secretary Jens Stoltenberg (L) speaks next to Greek Prime Minister Kyriakos Mitsotakis during a press conference after their meeting in Athens on October 10, 2019 AFP / Aris MESSINIS

There are officially some 70,000 migrants and refugees in the country and scores continue to arrive daily, piling pressure on already overcrowded camps on the Greek islands.

NATO currently has six ships on patrol in the northern Aegean that track the movement of incoming migrant boats and alert the coastguards of Greece and Turkey, in addition to EU border force Frontex.

Stoltenberg said he has already called on allies to provide more ships, but that any additional commitment requires a consensus between NATO members.

"We are sharing information. It's not our mandate to stop the boats," he said.