Sen. Lisa Murkowski Lisa Ann MurkowskiSenate GOP aims to confirm Trump court pick by Oct. 29: report Senate GOP sees early Supreme Court vote as political booster shot Pence defends Trump's 'obligation' to nominate new Supreme Court justice MORE (R-Ak.) told reporters Tuesday she has been assured that the FBI is "conducting this background investigation as they do all background investigations" in response to questions about the scope of the probe into sexual assault allegations made against Supreme Court nominee Brett Kavanaugh.

Murkowski joined Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Republican former Michigan governor says he's voting for Biden Maybe they just don't like cowboys: The president is successful, some just don't like his style MORE (R-Az.) in demanding an investigation into sexual assault allegations against Kavanaugh as a precondition for her voting to confirm the nominee.

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Concerns have been raised in the past few days about whether the FBI will have free rein to pursue the allegations as they see fit because of White House directions.

But Murkowski says that those fears are unfounded.

"I have had a conversation with Mr. McGahn about the extent of what the FBI is doing, and what I have been assured is that they’re conducting this background investigation as they do all background investigations, allowing for the investigation to take its course," she told reporters. "So that’s important."

Murkowski stressed that her mind will not be made up until the investigation in concluded.

"But I think what we all need to do now is wait and see exactly what comes back," she said.

"I don’t know what’s going to be in it, I don’t know that anybody knows what’s going to be in it, so I’m not going to speculate."