Earlier, Iran's new Supreme Leader Mojtaba Khamenei said Tehran could open new fronts of hostilities with the United States and Israel if the conflict in the region continues.
The source told the news agency that Iran is capable of threatening that strategic waterway in the Red Sea.
The report said a new front to counter the United States will be opened if the US attempts to take any action against Iran's southern territories and Iranian islands.
The New York Times newspaper reported on Wednesday, citing unnamed Pentagon officials, that US military leaders are weighing the deployment of the 82nd Airborne Division paratroopers to seize Iran's Kharg Island, the nation's primary oil export hub in the northern Persian Gulf.
On February 28, the United States and Israel launched strikes on targets in Iran, including in Tehran, causing damage and civilian casualties. Iran responded by striking Israeli territory and US military facilities in the Middle East.
The escalation around Iran has led to the de facto blockade of the Strait of Hormuz, a key route for deliveries of oil and liquefied natural gas from the Persian Gulf countries to the global market, and has also affected the level of oil exports and production in the region. As a result, fuel prices are rising in most countries around the world.