The current stretch of fence will also be upgraded, the official added.
Tens of thousands of asylum-seekers have been trying to break through the land border from Turkey for a week after Ankara announced it would no longer prevent people from trying to cross into the European Union.
A police source Sunday told AFP that riot police reinforcements from around the country had been sent to the border in recent days, in addition to drones and police dogs.
There have been numerous exchanges of tear gas and stones between Greek riot police and migrants.