Washington (CNN) President Donald Trump met with a lawyer who represented then-President Bill Clinton during the impeachment process and is talking with him about a role at the White House, The New York Times reported Saturday.

The Times, citing four people familiar with the matter, said Trump met with lawyer Emmet T. Flood in the Oval Office about joining the team as Trump and his allies continue to deal with the special counsel investigation led by former FBI Director Robert Mueller.

Two of the sources told the paper that no final decision had been made, and the Times said Flood joining the team would not replace White House lawyer Ty Cobb.

On Sunday morning, Trump responded to the report, which described signs the President might be considering a possible shakeup on his legal team, by saying he is not unhappy with the team and taking a dig at Times reporter Maggie Haberman, who has interviewed Trump several times, including a lengthy discussion in the Oval Office last year.

"The Failing New York Times purposely wrote a false story stating that I am unhappy with my legal team on the Russia case and am going to add another lawyer to help out," Trump wrote. "Wrong. I am VERY happy with my lawyers, John Dowd, Ty Cobb and Jay Sekulow.

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