"I think it's about time for the EU to seriously consider providing European funds for these types of projects," the head of government told AFP, on the sidelines of a visit announcing the project at Feres in northeastern Greece, the News Week reported.
"After all, we're contributing towards European security and we are also contributing towards a more integrated and effective European asylum policy."
Athens has decided to extend by 35 kilometers (21.7 miles) a five-meter high steel fence that runs along the Evros river marking the border with Turkey.
The fence is currently 37.5km long, and Athens aims to carry out the extension within a year, adding a total of 100km by 2026.
Mitsotakis has insisted that, even without EU funds, the project, estimated at 100 million euros ($108 million), will go ahead.
"What you see here is an obstacle that the Greek government has built to protect the borders of a country which also happens to be the external borders of the European Union," he said.
The debate on the financing of such fences resurfaced during an EU summit in February.
Several countries, including Austria and Greece, have called for EU funding to strengthen fences along the bloc's external borders to reduce the flow of asylum-seekers.
MNA/PR