Rep. Trey Gowdy Harold (Trey) Watson GowdySunday shows preview: Election integrity dominates as Nov. 3 nears Tim Scott invokes Breonna Taylor, George Floyd in Trump convention speech Sunday shows preview: Republicans gear up for national convention, USPS debate continues in Washington MORE (R-S.C.) said Wednesday that former White House chief strategist Stephen Bannon has a "credibility issue" revealed by his House Intelligence Committee testimony this week.

In an interview with Fox News's Martha MacCallum, Gowdy, who sits on the committee, warned special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE's office against trying to build a case around Bannon's testimony because the credibility of the former Trump adviser's statements were in doubt.

"I think the only thing dangerous for President Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE or his campaign is credible evidence," Gowdy told Fox News. "This is the same witness that said there was a zero percent chance that the Russian lawyer wasn't walked up to Trump, and when he was asked what that evidence was, he came up with nothing."

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"This is the same witness that said that members of the president's family committed acts of treason," the South Carolina Republican added. "So he's got a credibility issue. If they're hinging the entire case on Steve Bannon Stephen (Steve) Kevin BannonJuan Williams: Swamp creature at the White House Engineers say privately funded border wall is poorly constructed and set to fail: report Bannon and Maxwell cases display DOJ press strategy chutzpah MORE's credibility, good luck to the prosecution."

Bannon testified before the House Intelligence Committee on Tuesday behind closed doors and refused to answer some questions from lawmakers, prompting Democrats to slam what they called a "gag order" imposed by the White House.

“The scope of this assertion of privilege — if that’s what it is — is breathtaking,” ranking Democrat Rep. Adam Schiff Adam Bennett SchiffTop Democrats call for DOJ watchdog to probe Barr over possible 2020 election influence Overnight Defense: Top admiral says 'no condition' where US should conduct nuclear test 'at this time' | Intelligence chief says Congress will get some in-person election security briefings Overnight Defense: House to vote on military justice bill spurred by Vanessa Guillén death | Biden courts veterans after Trump's military controversies MORE (Calif.) said. “It goes well beyond anything we’ve seen in this investigation. … This was effectively a gag order by the White House.”

White House chief of staff John Kelly John Francis KellyMORE denied that Bannon received instructions in an interview with Fox News on Wednesday.

“No,” Kelly responded when asked if Bannon was instructed to assert executive privilege.

“Steve has had very, very little contact with the White House since he left [in August],” Kelly said, with the “exception of a few phone calls.”