Reopening the strait has been a key point in discussions between the two countries and mediators.
In his statement, the Iranian foreign ministry spokesman said the “geographical coordinates of the route” had been agreed with Oman.
“The factors making the Strait of Hormuz insecure still exist on the part of the United States, particularly the naval blockade and other aggressive and threatening actions against Iran and its interests,” he said, according to Iran’s official Irna news agency.
Iran’s Deputy Foreign Minister Kazem Gharibabadi later told Irna the new route would be temporary and could stay open from two to four months. He did not give further details.
Oil prices edged lower on Thursday, with global benchmark Brent crude down by 0.3% at $79.24 (£58.84) in morning Asian trade.
Energy prices have fluctuated wildly during the conflict as shipments through the key route for around 20% of the world’s oil and liquefied natural gas (LNG) have been severely disrupted.
Since the beginning of the war, traffic through the strait has dwindled. Iran has said all passage needs to be cleared beforehand – and it has attacked vessels which have ignored the order.
One of the main points of disagreement between Tehran and Washington has been Iran’s threat to impose a fee on vessels wishing to cross the strait.
Iran is seeking fees of between 5% and 7% of the price of cargoes from ships using the strait, according to a senior Iranian official cited by Reuters. Oman is discussing fees of around 3%, while Washington wants no fees at all.
The proposed deal would also give Tehran control over ships entering the Gulf through the Strait of Hormuz, Reuters reported.
The BBC has contacted the White House for comment.
In June, Iran and the US signed a Memorandum of Understanding (MoU), aiming to stop fighting, reopen the Strait of Hormuz, and reach agreement to end the war within 60 days.
The deal quickly fell through, as did diplomatic talks, with tit-for-tat attacks resuming just days after the MoU was signed.
The US has maintained a naval blockade of Iranian ports in the region, while another blockade is in place on Saudi Arabia’s ports in the Red Sea, imposed by Yemen’s Iran-backed Houthis since 20 July.
The US and Israel launched wide-ranging strikes on Iran on 28 February, with Iran responding by attacking Israel and US-allied states in the Gulf, and effectively closing the Strait of Hormuz.
Iran’s then Supreme Leader, Ayatollah Ali Khamenei, was killed in that first attack, after which he was succeeded by his son Mojtaba Khamenei.
