ALSO SEE: Trump Declares Iran War ‘Won’ as Tehran Denies Claims of Peace Talk Progress

President Trump said on Tuesday Iran made a valuable offer to reach a deal with the United States, in negotiations that Iranian officials have so far denied are taking place.

He would not specify what the offer was but said it was "a very significant prize" related to the Strait of Hormuz.

"We've won this. This war has been won," Trump declared in the Oval Office Tuesday.

But Iran also believes it is winning in its form of asymmetric warfare, analysts and former U.S. officials say.

Trump's comments on a possible deal came even as thousands of U.S. Marines as well as the commander and some staff of the Army's 82nd Airborne Division are headed to the Middle East.

NPR has also confirmed that the Israeli military wants to keep fighting Iran for several more weeks to achieve its war aims.

Meanwhile, the U.S. and Israel continued to attack Iran on Tuesday, with Iran's Revolutionary Guard reporting a strike on a gas supply line feeding a power station in southwest Iran. The International Atomic Energy Agency said another projectile hit Iran's Bushehr nuclear power plant. Iran fired multiple barrages of missiles, including one that hit Tel Aviv.