President Trump Donald John TrumpHR McMaster says president's policy to withdraw troops from Afghanistan is 'unwise' Cast of 'Parks and Rec' reunite for virtual town hall to address Wisconsin voters Biden says Trump should step down over coronavirus response MORE on Tuesday suggested the military should consider additional disciplinary action against Lt. Col. Alexander Vindman Alexander VindmanImpeachment witness Alexander Vindman calls Trump Putin's 'useful idiot' The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Trump, Biden renew push for Latino support Strzok: Trump behaving like an authoritarian MORE, who provided damaging testimony against Trump in the impeachment inquiry and was reassigned from his White House job last week.

"We sent him on his way to a much different location, and the military can handle him any way they want," Trump told reporters in the Oval Office. "Gen. Milley has him now. I congratulate Gen. Milley. He can have him."

Gen. Mark Milley is the chairman of the Joint Chiefs of Staff.

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Asked specifically if the Pentagon should pursue further action against Vindman, Trump said it would be "up to the military."

"But if you look at what happened, they’re going to certainly, I would imagine, take a look at that," he said.

The president's comments on Tuesday signaled he was open to additional punishment for officials who testified against him in the impeachment inquiry. Some of his allies have sought to cast the ouster of witnesses like Vindman as justifiable reassignments rather than retribution.

Speaking at an Atlantic Council event hours after Trump's remarks, national security adviser Robert O'Brien insisted that Vindman and his twin brother Lt. Col. Yevgeny Vindman, who was also dismissed from his White House position on Friday, were not retaliated against.

“At the end of the day, the president is entitled to staffers that want to execute his policy, that he has confidence in, and I think every president is entitled to that," O'Brien said. "But there is absolutely no retaliation with respect to the Vindmans as far as impeachment goes."

O'Brien also said that the reassignments were his decision and that he stood by them.

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Earlier on Tuesday, Trump said there were more departures to come, but it was unclear if he was referring specifically to impeachment witnesses.