"We also know that those who aren't terrorists, those who were fighting alongside of us for all this time deserve to be protected as well", Pompeo said.
The Gulf emirate is his latest stop in a regional tour aimed at reassuring allies after a Trump's shock announcement in December that United States troops would be withdrawn from Syria.
"Likewise, do not want the Kurds to provoke Turkey". "We will continue to fight against them all".
"We recognize the Turkish people's right and President Erdogan's to defend their country from terrorists", Pompeo said Saturday, according to NPR's Michele Kelemen, who is traveling with the secretary.
About 2,000 U.S. military personnel are reported to be deployed in northern Syria.
A US defense official told Fox News on Friday that the USA -led military coalition in Syria started the process of removing troops from the region, but wouldn't confirm further details for security purposes.
"The withdrawal is based on operational conditions on the ground, including conversation with our allies and partners, and is not be subject to an arbitrary timeline", he said.
How many USA troops are in Syria?
"We hope we can turn the corner here", Mr Pompeo added.
More than 2,000 USA troops are serving in Syria.
Meanwhile, Israeli Prime Minister Benjamin Netanyahu confirmed Sunday that Israel had struck hundreds of Iranian and Hezbollah targets in Syria over the weekend, including a weapons facility, as the Israeli Defense Forces announced the discovery of a sixth and final tunnel dug by the Lebanese militant group for cross-border attacks.
President Donald Trump said the United States will "devastate Turkey economically" if the country attacks Kurdish fighters in Syria.
"We will protect Kurds and other Syrians against all terrorist threats".
He suggested that talks between Damascus and the Syrian Kurds could be part of a broader political solution in Syria.
Ankara sees the backbone of that alliance, the YPG, as a terrorist group linked to the Kurdistan Worker's Party (PKK), which has fought a decades-long insurgency against the Turkish state.
A Kurdish politician told Reuters earlier this month that the leadership of northern Syria had presented Russian Federation with a road map for a deal and would pursue one regardless of USA plans.
Mevlut Cavusoglu and Mike Pompeo discussed the latest developments in Syria, said the sources, who asked not to be named due to restrictions on speaking to the media.
"President Macron spoke to him (Trump) several times and it seems that there has been a change that I think is positive", he said in a television interview on Thursday.