US Secretary of State Rex Tillerson is due in Ankara later this week for talks aimed at finding a way forward as Washington expresses severe alarm over the campaign against Kurdish militia.
"Our relations are at a very critical point. They will either be fixed or these ties will be completely damaged," Turkish Foreign Minister Mevlut Cavusoglu said in televised comments in Istanbul.
Ankara last month launched a military operation against the Kurdish People's Protection Units (YPG) militia in the western enclave of Afrin in northern Syria.
While Turkey views the YPG as a "terrorist" offshoot of the outlawed Kurdistan Workers' Party (PKK), the US has been working closely with the militia against the Islamic State extremist group in Syria and giving it weapons.
Turkey is also angry since Washington has failed to extradite Pennsylvania-based Muslim preacher Fethullah Gulen, who it accuses of ordering the 2016 attempted overthrow of President Recep Tayyip Erdogan.