Turkey launched its operation seeking to oust Kurdish People's Protection Units (YPG) militia from the Afrin region of northern Syria on January 20 and Erdogan said Thursday its forces could now enter Afrin town at "any moment".
But Ankara has always threatened to expand the operation to the east to oust the YPG from the swathe of territory it controls right up to Iraq.
Speaking to supporters in the city of Mersin, Erdogan said the Turkish army and allied Syrian rebels wanted to oust the YPG from all the towns they control close to the Turkish border.
"Once we have purged the terrorists (from Afrin) we will then cleanse them from Manbij, Ayn al-Arab, Tel-Abyad, Ras al-Ayn and Qamishli," he said in televised comments.
Manbij, the next main YPG-held town east of Afrin, is a particular flashpoint as it has an American military presence there.
Ayn al-Arab, better known by its Kurdish name Kobane, has huge symbolic importance as it was the epicentre of a struggle with Islamic State (IS) jihadists which was eventually won by the Kurds.
Qamishli is seen as the main town of the YPG-controlled region.
The United States however has worked closely with the YPG in the fight against IS and the campaign has raised tensions with Turkey's NATO ally Washington.
Erdogan questioned why NATO had not come to Turkey's aid in its Syria operation when Ankara had backed critical alliance campaigns worldwide.
"Hey NATO where are you?" Erdogan asked. "We came in response to the calls on Afghanistan, Somalia and the Balkans, and now I am making the call, let's go to Syria. Why don't you come?"
Today, the Britain-based Syrian Observatory for Human Rights monitoring group said the Turkish forces were now four kilometres from Afrin town.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)