Iran said it is discussing an arrangement with Oman to help restore vessel movements through the Strait of Hormuz.
The Iranian Foreign Ministry said the proposal would temporarily merge separate Iranian and Omani shipping lanes into one route while a durable agreement is pursued.
Foreign Ministry spokesperson Esmail Baghaei said Iran was seeking understanding with Oman to normalize maritime traffic.
Iran said it was not holding direct talks or meetings with the United States over the strait.
President Donald Trump, however, said Washington was continuing discussions with Tehran.
Trump said the claimed discussions focused on reopening the Strait of Hormuz and on Iranian nuclear disarmament.
He said a decision on reopening the waterway could come by August 4, while describing nuclear disarmament as a process that would take longer.
Trump said he had kept a diplomatic channel open at the request of Saudi Arabia, the United Arab Emirates, Qatar and other regional partners.
He warned that Iran faced what he called a final opportunity for an agreement before possible US military action.
Trump later alleged that Iran had privately requested talks despite publicly denying negotiations; Iran's cited position did not confirm that allegation.
Iran's Revolutionary Guard said it remained prepared to respond to threats, while US Central Command said US forces were ready to protect commercial vessels in the strait.
Iran also said Qatar and Pakistan were among countries attempting behind-the-scenes mediation.