Rep. Gerry Connolly Gerald (Gerry) Edward ConnollyJudge issues nationwide injunction against Postal Service changes House panel advances bill to ban Postal Service leaders from holding political positions Shakespeare Theatre Company goes virtual for 'Will on the Hill...or Won't They?' MORE (D-Va.) accused President Trump Donald John TrumpBiden leads Trump by 36 points nationally among Latinos: poll Trump dismisses climate change role in fires, says Newsom needs to manage forest better Jimmy Kimmel hits Trump for rallies while hosting Emmy Awards MORE on Thursday of threatening special counsel Robert Mueller by saying that the former FBI director would cross a line if his investigation into Russian election meddling delves into the Trump family's finances.

"He was basically saying, 'I'll fire you if you go beyond this limit,' and he has no legal right to set that limit," Connolly told CNN's Jake Tapper.

"Yes, it's within his constitutional purview to fire the special counsel, but there will be a firestorm in reaction to that, should he do it, and he'll destroy his presidency over this," he added.

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Mueller is leading the federal investigation into possible collusion between the Trump campaign and Russia to influence the outcome of the 2016 presidential election. Part of that probe is examining potential financial ties between members of the president's campaign and Russian interests.

Trump told The New York Times in an interview on Wednesday that Mueller was leading an investigation riddled with conflicts of interest and said the special counsel should not expand the probe to include the financial dealings of Trump's family.

“I think that’s a violation," Trump said. "Look, this is about Russia.”

But Connolly said that Trump has no right to set the parameters of Mueller's investigation. He also accused the president's eldest son, Donald Trump Jr., and son-in-law Jared Kushner of colluding with Russia by attending a meeting last year with a Russian lawyer who was presented as having damaging information on Hillary Clinton Hillary Diane Rodham ClintonBiden leads Trump by 36 points nationally among Latinos: poll Democratic super PAC to hit Trump in battleground states over coronavirus deaths Battle lines drawn on precedent in Supreme Court fight MORE.

"For him to decide my family is off limits — his family made money in Russia, your family has ties to oligarchs, your family just admitted it met with Russian operatives to discuss the election. That's collusion," Connolly said.

Investigators have been looking into ties between Trump associates and Russia, with Trump Jr.'s meeting with the Russian lawyer gaining intense scrutiny.