Republican Sens. Thom Tillis of North Carolina and Lindsey Graham of SC, and Democratic Sens. They said he must have "good cause" to order the justice department official overseeing the Russian Federation inquiry, deputy attorney general Rod Rosenstein, to oust Mr Mueller.
Referring to the investigation as a "witch hunt", Trump added, "It's frankly a real disgrace".
Sen. Richard Blumenthal, D-Conn., said Monday evening that the raid raises the stakes for Trump - and that the president is likely to be angrier and act more "impulsively ... than he has been so far". The raid was overseen by the US Attorney's office in Manhattan and was based in part on a referral from Mueller, said Cohen's lawyer, Stephen Ryan.
Republican House Speaker Paul Ryan, who announced Wednesday that he will not run for re-election in November, said he has received "assurances" from the White House that Trump will not move against Mueller or Rosenstein.
According to Danielle Brian, executive director of the Project On Government Oversight, an attack on his investigators could spur lawmakers to attempt to remove Trump from office.
Under the legislation, the expedited review would determine whether the special counsel was sacked for good cause. While a challenge is pending, the legislation dictates, the special counsel's staff, documents and other materials would be preserved.
It's unclear if it could ever become law.
"Why don't I just fire Mueller?"
"Firing Mueller would be like scratching a rash", he said. John Cornyn of Texas.
When asked if they view Comey favorably, 30 percent said they did, 32 percent said they didn't and 38 percent had no opinion, according to the ABC News/Washington Post poll out Friday. "I've done that in person".
Despite the president's obvious frustrations, he has claimed repeatedly that reports he is trying to oust Mueller are all fake news. "This whole thing is an absurdity", the former House speaker, another Trump ally, said Wednesday on Fox News.
Grassley indicated that some Republicans on the committee oppose it, and Senate Majority Leader Mitch McConnell, R-Ky., has shown little interest, saying earlier this week that he doesn't think Mueller will be fired. "Make it clear that firing Mueller or interfering in his investigation would be a red line and a threat to our constitutional order".
"Trump could keep firing people down the chain of command until he found someone willing to fire Mueller", Kent said.