"At some point maybe we will. That would be a great thing," he told reporters during a briefing aboard Air Force One.
"We haven't gone after it but it's something we could do later," he said.
Some critics of the US-Israeli war on Iran, launched last Saturday, have said air strikes alone are unlikely to achieve the stated goals of destroying Iran's military capacity and preventing it from developing a nuclear bomb.
Asked about the use of ground troops in general, Trump did not rule it out, saying: "Could there be? Possibly, for a very good reason -- it'd have to be a very good reason."
"And I would say if we ever did that, they would be so decimated that they wouldn't be able to fight at the ground level," he said.