That figure, from a closed-door briefing for senators on Tuesday, ​did not include the entire cost of the war, but was provided to ​lawmakers as they have clamoured for more information about the conflict.

Several ⁠congressional aides have said they expect the White House to soon submit a request ​to Congress for additional funding for the war.

Some officials have said the request ​could be for $50 billion, while others have said that estimate seems low.

The administration has not provided a public assessment of the cost of the conflict or a clear idea of its expected duration. ​

Trump said during a trip to Kentucky on Wednesday that “we won” the war but that ​the United States will stay in the fight to finish the job.

The $11.3 billion figure was first reported ‌on ⁠Wednesday by the New York Times.

The campaign against Iran began on February 28 with US and Israeli air strikes and has so far killed around 2,000 people, mostly Iranians and Lebanese, as the conflict has spread into Lebanon and thrown global energy markets and transport into ​chaos.

Administration officials have also ​told lawmakers that $5.6 ⁠billion of munitions were used during the first two days of strikes.

Members of Congress, who may soon have to approve additional funding ​for the war, have expressed concern that the conflict will ​deplete US ⁠military stocks at a time when the defence industry was already struggling to keep up with demand.

Trump met executives from seven defence contractors last week as the Pentagon worked to ⁠replenish supplies.

Democratic ​lawmakers have demanded public testimony under oath from administration ​officials about the Republican president’s plans for the war, including how long it might last and what his ​plans are for Iran once the fighting has stopped.