Washington (CNN) Sen. Lisa Murkowski, a key swing vote on Brett Kavanaugh's Supreme Court nomination, on Tuesday expressed confidence that the FBI is conducting a thorough investigation into allegations against the nominee and indicated that she plans to "wait and see" what the review finds before making any judgment.

"I think the FBI is doing what we've tasked the FBI to do -- that's all I can ask for right now," the Alaska Republican told reporters, noting that she has spoken to White House counsel Don McGahn and has received assurances that the investigation will be allowed "to take its course."

Murkowski backed a last-minute push by Republican Sen. Jeff Flake who asked for the FBI investigation on Friday. Murkowski and Flake as well as Maine Sen. Susan Collins are seen as three key undecided GOP senators who could determine the future of whether Kavanaugh will be confirmed, given Republicans control 51 seats in the chamber to the Democrats' 49.

Murkowski said Tuesday, she is waiting to see what the probe finds.

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

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