Trump supposedly mulling the termination of special counsel Robert Mueller 9:42 AM ET Tue, 13 June 2017 | 00:48

The current man in charge of the probe into Russian interference in the 2016 election may also have a target on his back.

President Donald Trump is considering terminating special counsel Robert Mueller, a former FBI director who was named by the Justice Department in May to lead the Russia probe, according to Chris Ruddy, the CEO of conservative website Newsmax.

"I think he's considering perhaps terminating the special counsel. I think he's weighing that option," said Ruddy, a close Trump ally, told PBS NewsHour on Monday. "I think it's pretty clear by what one of his lawyers said on television recently."

But letting Mueller go would "be a very significant mistake," Ruddy continued.

Such a decision could have disastrous political ramifications for Trump, who's already fending off accusations that he fired former FBI Director James Comey in order to stifle that same investigation. The probe is looking into links between the Trump campaign and the Kremlin.

In an interview with ABC News on Sunday, Trump attorney Jay Sekulow said he didn't want to speculate on whether the president would fire Mueller.

PBS anchor Judy Woodruff first tweeted the news. Earlier on Monday, CNBC spotted Ruddy leaving the West Wing. Ruddy, however, did not meet with the president as their meeting was postponed, NBC News reported.

Later on Monday night, White House Press Secretary Sean Spicer issued a statement saying Ruddy never spoke to the president, adding that only the "president or his attorneys are authorized to comment."

In a statement to NBC News, Ruddy indicated that Spicer's statement wasn't relevant, because he never claimed to have spoken to Trump about Mueller in the first place.

"Don't waste your time trying to undermine one of your few allies," the statement said.