A US official told Reuters that an agreement between Iran and Oman was close and could soon reopen the waterway, which carried a fifth of global oil and liquefied natural gas shipments before Iran blocked it in response to US and Israeli attacks.
Iranian Foreign Minister Abbas Araqchi said on Sunday an agreement on the strait that lies between the two countries was in the "final stages" but repeated comments that it would not reopen it unless other conditions were met.
The agreement would set out the new shipping lanes to be used once the US fulfils those conditions and the strait is reopened, Iran's Mehr news agency quoted him as saying.
Iran and the US are not engaged in talks and Tehran will not start them as long as Washington breaches an interim deal signed in June, Araqchi said, adding that messages are being exchanged via intermediaries.
US President Donald Trump said in an interview with Axios that the US was "low-keying" it with Iran.
"We are only semi-negotiating with them. We are just watching Iran with its huge inflation and the fact they have no money," he said.
The United States began air strikes on Iran in late February, saying it aimed to ensure the Islamic Republic could not acquire nuclear weapons or threaten the region with missiles or proxies.
It agreed to a ceasefire with Iran in June, but reimposed a blockade on Iranian shipping in the Gulf in July, which Tehran said was a violation of the truce that had already broken down.
"Once the deal is announced to restore commercial shipping without impediments, the United States will lift the blockade of Iranian ports," the US official told Reuters on condition of anonymity.
US actions would be tied to Iran's implementation of its commitments, the official said.
The US comments indicated delicate sequencing towards a deal that sources had told Reuters appeared to be set to give Tehran control over ships entering the Gulf through the strait, something shippers said was not easily workable.
The latest status of the agreement was not clear and Iran's response suggested other factors would also come into play.
Araqchi said reopening the strait would depend on conditions including US compensation to Iran for its widespread attacks.
The secretary of Iran's top national security body, Mohammad Baqer Zolqadr, also listed ending US threats against Iran, stopping aggression against Iran and its Lebanese, Palestinian, Yemeni and Iraqi allies, lifting a blockade and sanctions on Iran and freeing Iranian assets.
Ultimate decision-making in Iran rests with Supreme Leader, Mojtaba Khamenei, who has not been seen in public since an air strike killed his father and predecessor on February 28, the first day of US-Israeli air strikes on Iran.
State media said on Sunday that President Masoud Pezeshkian had met Khamenei in late July and a paramilitary leader promised footage of the supreme leader, who was reportedly injured in the strike that killed his father, out in public.
The United Arab Emirates said on Saturday that Iran had attacked a ship affiliated to its state oil company.
There was no immediate comment from Iran, where the powerful Revolutionary Guards have attacked ships in the past, saying they had not coordinated their passage through the strait with Iran.
