James Mattis, the USA defence secretary, said the Trump administration would "work out any of the concerns".
Speaking to reporters before departing for London on Wednesday, Yildirim said Turkey can not accept "direct or indirect" support for the Kurdish rebels, known as the PKK. He said USA -led forces had "almost completely" isolated Raqqa and expected troops to soon begin advancing "within striking distance" of the city.
The SDF, a Kurdish-Arab alliance fighting IS in Syria, allowed the fighters to leave Tabqa in return for dismantling bombs surrounding the dam, surrendering their heavy weapons and quitting Tabqa city.
US Defense Secretary Jim Mattis voiced strong support for Turkey's fight against the PKK terror group after talks with Turkey's prime minister on Thursday.
Washington regards the Syrian Kurdish fighters as key partners in the fight against Islamic State militants, but Turkey considers the group a threat to its security because of its links to outlawed Kurdish rebels.
Also Friday, a Pentagon spokesman, Navy Capt. Jeff Davis, said that although the USA has no indication of structural problems with the Tabqa dam, it is sending a "dam assessment team" to assess its condition "and ensure it continues operating". The Wall Street Journal reported the effort could end up doubling the capacity of an intelligence sharing centre in Turkey's capital Ankara.
Erdogan, who was speaking at a news conference in the capital Ankara, also said he would pursue the issue of the extradition of the US -based cleric Fethullah Gulen to "the end".
Turkey's president on Friday insisted that a US decision this week to arm Kurdish militias in northern Syria was a hangover policy of the Obama administration, days before he was due to meet the new US President Donald Trump. Without that base, the US would have considerable difficulty operating in the region. That's not to say, we all walk into the room with exactly the same appreciation of the problem or the path forward.
Before his meeting with Mattis, Yildirim had warned that "there is still an opportunity for the United States to take Turkey's sensitivities into consideration". Otherwise, the outcome won't only affect Turkey.
"The United States is still going through a transition period".
Mattis has played down the friction between the allies, saying that while "it's not always tidy", they will resolve any differences.
Erdogan also called on the United States to stand alongside a North Atlantic Treaty Organisation ally Turkey and reverse its decision on arming Syrian Kurds before his upcoming visit to Washington.
Last Wednesday, Ilnur Cevik, a senior aide to President Erdogan, said American forces teamed up with members YPG, could be in danger of being hit by Turkish fighters patrolling the volatile border region with Syria.
The president added that he hoped the Pentagon would "reverse" its decision to arm the YPG "before I go to America". The officials, who spoke on condition of anonymity because they weren't authorized to publicly discuss the matter, said artillery or surface-to-air missiles would not be provided.
"It doesn't change the fact that when we see ISIS fighters on the battlefield and have a clean shot at them, we will continue to take it". Merkel also argues that development aid should be taken into account as a security component.
"The U.S. made that decision because its priority for now is to defeat IS both in Mosul and Raqqa", he said.
Information for this article was contributed by Lolita C. Baldor of The Associated Press and by Arne Delfs of Bloomberg News.