Tehran, Iran - Iranian President Masoud Pezeshkian said Tehran's new plan to reopen the strategic Strait of Hormuz was coordinated with Supreme Leader Mojtaba Khamenei, but President Donald Trump claims to have rejected the plan.

Pezeshkian also told CBS News that the Islamic Republic would fulfil its obligations if the US agrees to the proposal, according to excerpts released by state news agency IRNA.

The strait is crucial for the world's oil supply and central to the conflict between the US and Iran, which remains deadlocked after nearly seven months.

"Coordination with the leader of the revolution (the supreme leader)... has been carried out," Pezeshkian said.

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"If the US accepts it and fulfils its obligations, we will do the same, and there will be no issue in this regard," he added.

Pezeshkian said that a six-member team in Iran has been meeting for discussions and has "the authority to make decisions."

This team includes representatives from "various organizations and bodies, including the military, the parliament and the government".

When asked about the deal on Saturday, Trump said, "I'm rejecting their deal. They want to make a deal where they open the Strait immediately because they're losing so badly."

Iranian Foreign Minister Abbas Araghchi said the plan's conditions were the same as those laid out in a memorandum of understanding signed with the US in June.

It notably calls for the release of frozen Iranian assets estimated to be worth at least $12 billion, as well as the lifting of sanctions on Iranian oil and an end to the US naval blockade of Iran.

Earlier in the week, Iran's Foreign Minister Abbas Araghchi held talks with Trump's envoy Steve Witkoff, and previously set out conditions for ending the war and reopening the vital shipping channel.

"Iran has conveyed to the United States, through Qatar, a concrete seven-day plan. If the necessary conditions are met, the strait can be reopened, and normal maritime passage restored within seven days," Araghchi said at the UN.