Republican Luther Strange, who was temporarily appointed to Sessions' seat, took to Twitter to encourage him to run.
Mr Trump has vehemently denied any collusion took place, and repeatedly called for the inquiry to be shut down, calling it "the greatest political witch hunt in history". And the department is expected to receive a confidential report of Mueller's findings, though it's unclear how much will be public.
A Justice Department spokeswoman, asked if Mr Whitaker would now oversee Mueller, replied: "The acting attorney general is in charge of all matters under the purview of the Department of Justice". Whitaker has spoken critically about the Mueller probe and spoke in a TV interview about choking off its funding.
Those concerns are now focused on the future of the Mueller probe, which began as a look into alleged links with Russians seeking to disrupt the election and expanded into an investigation of billionaire Trump's murky finances, including his business ties to Russia.
"Clearly, Attorney General Sessions doesn't have the confidence of the president".
Sen. Lindsey Graham, who months ago warned Trump against firing Sessions, met with the President Thursday and said he had "confidence" Whitaker would do a professional job 'in this position'. Chuck Schumer, said he should recuse himself because of his comments on the probe. Rep.
First ever Muslim women elected to Congress following United States mid-term elections
She will also be the first Somali-American in Congress. "We did this, together", she wrote on Twitter Tuesday night. Omar (D), 36, fled war-torn Somalia in the '90s and lived in a refugee camp before moving to the US.
When Democrats assume control of House committees next year, they will direct everything from the subject matter of investigations to the timing and substance of committee hearings.
"The firing of Sessions is widely viewed as a possible attempt to obstruct the ongoing special counsel investigation being conducted by the U.S. Department of Justice and headed by former FBI director Robert Mueller", said the organizers in a release.
Sessions, a 71-year-old former Republican senator from Alabama, was the first senator to endorse Trump's insurgent presidential campaign. "The notification to Congress is mostly about transparency".
The deputy attorney general appointed Mr Mueller to lead the inquiry after Mr Trump fired Federal Bureau of Investigation director James Comey in 2017.
Before Trump gave a news conference on Wednesday, White House Chief of Staff John Kelly called Sessions and told him that Trump wanted him out, the official said.
In piercing attacks, Trump called Sessions weak and beleaguered, complained that he wasn't more aggressively pursuing allegations of corruption against Democratic rival Hillary Clinton and called it "disgraceful" that Sessions wasn't more serious in scrutinizing the origins of the Russian Federation investigation for possible law enforcement bias - even though the attorney general did ask the Justice Department's inspector general to examine those claims.