"The single most important solution to this problem is the fully and unconditionally opening up of the state of Hormuz to shipping," IEA chief Fatih Birol told a press conference.

Iran had effectively halted tanker traffic through the Strait of Hormuz in retaliation for US and Israeli strikes launched in late February, choking off oil and gas traffic and sending crude prices skyrocketing.

The deal between Iran and the United States to end the Middle East war calls for the strait to be opened, but Iranian officials have said tolls or "service fees" could be imposed for ships passing through the crucial channel for Gulf oil and gas.

Birol "warmly" welcomed the deal, calling it "great news" that "will give a comfort to the markets".

"The crisis has started almost four months now," the IEA chief, who has previously compared the fallout to the great oil shocks of the 1970s, pointed out.

The IEA has coordinated the release of hundreds of millions of barrels of oil from emergency stocks by its 32 member countries, and said in May that around 164 million barrels have already been drawn.