Secretary of State Marco Rubio said Thursday there are limits to what the U.S. would accept in any Iran deal, as an attack on a ship in the Strait of Hormuz led the U.N. to suspend an effort to shepherd trapped vessels from the Persian Gulf.

Rubio – in Bahrain as part of a regional tour to reassure Gulf partners hit hard by the Middle East conflict – also dismissed the idea of allowing Tehran to charge fees in the strait, saying it would open the door to "total chaos".

The United States and Iran signed a memorandum of understanding last week, establishing a 60-day framework while the sides work toward a permanent deal. The deal requires that Iran make its best efforts to ensure the safe passage of commercial vessels through the strait in return for lifting the U.S. naval blockade of its ports.

But Gulf countries and Israel also have longstanding concerns about Iran's support for proxies in the region and its missile program, and it remains unclear whether those topics will be handled in the talks.

After meeting with Rubio on Thursday, foreign ministers from the Gulf Cooperation Council emphasized that "lasting regional peace and security requires addressing the full spectrum of Iran's threats, including its ballistic missiles, drones and support of proxies".

Earlier, Rubio acknowledged that although the United States wants "a deal, we don't want a deal at any price."

"We want to ensure ... that there is no part of this deal that's undertaken that in any way undermines the security, the stability or the prosperity of any of our partners in the Gulf region," he said.

Rubio also sought to reassure the energy-rich Gulf states that the Strait of Hormuz, which they have relied on for decades to export oil and liquefied natural gas, would remain toll-free.

Iran imposed a blockade of the strait during the war, sparking a global economic shock, and has since said it plans to introduce what it terms maritime service fees. Iran's Islamic Revolutionary Guard Corps warned Thursday that any unauthorized crossings would be "dealt with."

Oman had released a map Wednesday of a new temporary shipping route running close to its coast. It said the path through the strait was coordinated with the U.N. International Maritime Organization.

Iran later appeared to denounce the new corridor in a statement by the IRGC, but did not refer to Oman specifically.

The British maritime security agency UKMTO said Thursday that a cargo ship in the strait was "hit on the starboard side by an unknown projectile, causing damage to the bridge," but reported no casualties. It said the incident occurred just 7.5 nautical miles off Oman's coast.

The secretary-general of the IMO, Arsenio Dominguez, then announced the suspension of efforts to evacuate the ships and their crews that were trapped by the conflict.