Iran has exercised de facto control of the waterway and threatened any vessels transiting routes it deems unauthorized ever since the United States and Israel launched their war against the country on 28 February.
US President Donald Trump has repeatedly insisted Tehran is keen for a deal to reopen Hormuz, but Iran has denied this and said it will instead make arrangements with its neighbor across the strait, Oman.
"The geographical coordinates of the route envisaged by the two sides have been agreed upon and, if certain third parties do not obstruct the process, the joint statement of the two countries, containing the main considerations and points of agreement, is also in the final review and drafting stage," Iran foreign ministry spokesperson Esmaeil Baqaei said, according to state news agency IRNA.
According to the report, Baqaei told journalists that talks with Oman were moving forward, but that even if an understanding was reached, it would not mean that the strait had become safe for all passing vessels.
"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.
Highlighting the risks, the captain of an oil tanker reported hearing two explosions while transiting the strait, 17 kilometers southeast of Kumzar, Oman, Britain's maritime security agency UKMTO said on Wednesday. The crew and vessel were safe.
Yemen's Houthis said separately they had struck two Saudi oil tankers, the eighth and ninth hit since they launched a blockade of the kingdom last month.
Military spokesperson Yahya Saree said missiles hit the tanker Wafa off Yanbu in the northern Red Sea and the tanker Daisy in the Gulf of Aden.
Saudi authorities did not immediately comment.
