Washington (CNN) Acting White House chief of staff Mick Mulvaney says he and President Donald Trump never discussed his potential resignation following a defiant press conference last week in which the aide admitted a quid pro quo between the US and Ukraine.

"After the briefing and all the blowback and the criticism, did you ever offer or think to offer the President your resignation?" Fox News' Chris Wallace asked Mulvaney on "Fox News Sunday."

"No, absolutely not," Mulvaney responded.

"Was that ever discussed?" Wallace asked, to which Mulvaney replied: "Absolutely, positively not."

"No, I am -- listen, I am very happy working there," Mulvaney said. "Did I have the perfect press conference? No. But again, the facts are on our side."

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