Gingrich's claim echoes theories posited by pro-Trump conspiracy theorists that officials within the American "deep state" - namely, people working at the FBI, CIA, and the State Department - have been working behind the scenes to bring Trump down from the inside by leaking dirt about Trump's ties to Russian Federation.
"Should now be clear Mueller is the 'anti-Trump special counsel, '" Gingrich tweeted. The President is the chief executive officer of the United States, if he wants to fire the Federal Bureau of Investigation director, he can just fire him.
He also seemed to accuse the USA deputy attorney general of pursuing a "witch hunt". Trump called the investigation a "witch hunt" and his allies attacked Mueller in the media. There was obstruction of justice about the collusion.
Many of those supporters took issue with Mueller hiring top attorneys, whom they say are partisan, to assist with his investigation.
"You have to look at this and recognize, they're going to get somebody", Gingrich told Hannity.
'His reputation is impeccable for honesty and integrity, ' Gingrich tweeted on May 17.
Gingrich's observations also came amid news reports of President Trump added another high-powered lawyer to his personal team and Vice President Mike Pence had hired his own personal lawyer.
The reports that Trump was considering ousting Mueller appeared to lead to officials leaking to the Post that the Mueller investigation included probing possible obstruction of justice, a move that would make it more hard for Trump to remove Mueller without increased backlash.