(CNN) One of the key Republican senators undecided on whether to support Supreme Court nominee Brett Kavanaugh is standing by his call to see the results of an FBI investigation before making a decision, despite Senate Majority Leader Mitch McConnell's commitment to holding a vote this week.

Asked if he supports having a vote on Friday, Sen. Jeff Flake said, "Depends on where we are with the FBI investigation."

"The agreement was that we wouldn't have a cloture vote until the report was filed," Flake told CNN at a Washington airport Tuesday morning after returning from a trip to Manchester, New Hampshire.

Flake has emerged as a crucial Republican decision-maker whose last-minute stance Friday to push for an FBI investigation brought the relatively quick-moving nomination to a pause after an emotional day of testimony from both Kavanaugh and Christine Blasey Ford, a woman who accused Kavanaugh of sexual assault in the 1980s when they were both teenagers.

McConnell, accusing Democrats of moving the goalposts on the Kavanaugh nomination, said from the Senate floor Monday that the time for "delay and obstruction" has come to a close.

Read More