Tehran's politburo-like body known as the Supreme National Security Council also issued new demands that could shake up talks on a deal to manage the waterway and traffic on it.
Closure of the strait, through which a fifth of the world's traded oil and natural gas once passed, has driven up the price of fuel and basic goods, roiling the global economy.
Axios reported the proposed 60-day arrangement aims to revive the US-Iran ceasefire, reopen the strategic waterway and create space for renewed nuclear talks.
Iranian Foreign Ministry spokesman Esmail Baghaei said the bilateral talks with Oman are focused on "establishing safe inbound and outbound shipping lanes," routes that "uphold sovereign rights.
