Trump is due to meet on Tuesday with the leaders of the six Gulf Arab states: Bahrain, Kuwait, Qatar, Oman, Saudi Arabia and the United Arab Emirates.
The Gulf countries are keen to restore shipping through the Strait of Hormuz but wary of giving their longstanding rival Iran too much power.
All apart from Oman host huge US military bases that have come under repeated Iranian attack throughout the war, which has strained their decades-old security partnerships with Washington.
The biggest of them, Saudi Arabia, has been drawn deeper into the war this month, with Houthi fighters aligned to Iran advancing in Yemen, routing forces of a Saudi-backed government there and threatening Saudi oil exports through the Red Sea.
There was some relief on oil markets on Tuesday, after sources told Reuters that Saudi Arabia had restarted operations at its East-West Pipeline and could resume exports within hours, albeit at reduced volume, from the Red Sea port of Yanbu. O/R
The pipeline, Saudi Arabia's main alternative route for exports to bypass wartime disruption in the Strait of Hormuz, was shut down after attacks on September 10 that Riyadh blamed on Iranian allies in Iraq. O/R
The Houthis have pushed back Saudi-supported government forces with the aim of controlling the Bab el-Mandeb Strait, the southern mouth of the Red Sea, and have attacked Saudi Arabia directly with missiles and drones.
The US, which bombed the Houthis for two months last year, has so far rebuffed repeated pleas from Saudi Arabia's Crown Prince Mohammed bin Salman to rejoin the fight against the group. The New York Times reported that Trump called off US strikes against the Houthis on Sunday at the last minute, after troops had already begun loading bombs onto planes.