Story highlights Post reports that Trump considered withdrawing Supreme Court nominee Neil Gorsuch

Newspaper stands by its report

Washington (CNN) President Donald Trump disputed a Washington Post story Tuesday alleging that he considered pulling his nomination of Neil Gorsuch to the Supreme Court after Gorsuch privately criticized Trump's attacks on the judiciary.

"A story in the @washingtonpost that I was close to "rescinding" the nomination of Justice Gorsuch prior to confirmation is FAKE NEWS," Trump tweeted. "I never even wavered and am very proud of him and the job he is doing as a Justice of the U.S. Supreme Court. The unnamed sources don't exist!"

Tuesday on CNN's "At This Hour" Washington Post reporter Josh Dawsey responded to the President's remarks and said the Post stands by its story.

"We stand by our reporting," Dawsey said.

Trump had launched into a series of attacks against federal judges who had ruled to stop his travel ban on Muslim-majority countries during Gorsuch's confirmation process, leaving the Supreme Court nominee to field questions from senators about the comments.

Read More