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.