(CNN) Sens. Jeff Flake and Chris Coons said in an interview that aired Sunday that if the FBI investigation into sexual assault and misconduct allegations against Supreme Court nominee Brett Kavanaugh finds that the judge lied to the Senate Judiciary Committee during his testimony on Thursday, his nomination likely would not move forward.

"If Kavanaugh is shown to have lied to the committee, nomination's over?" Scott Pelley of CBS's "60 Minutes" asked Flake, an Arizona Republican, and Coons, a Delaware Democrat, who are friends.

"Oh yes," Flake said, nodding.

Coons added, "I would think so."

Just as Republicans on the Judiciary Committee were about to favorably recommend the confirmation of Kavanaugh to the Supreme Court on Friday, Flake had a change of heart.

Read More