Sen. Lindsey Graham, R-S.C., said voters should ask Democrats running if they agree with a suggestion from Sen. Dianne Feinstein, D-Calif., that allegations against Supreme Court Justice Brett Kavanaugh be probed again if Democrats win back the Senate.

"I want every Democrat running for the Senate to answer the question: Do you agree with Dianne Feinstein that we should reopen the Kavanaugh investigation if Democrats take over?" Graham said during a Wednesday interview with Fox News. "If you're running for the House as a Democrat, do you agree with the idea that the first thing you should do is impeach Kavanaugh? These answers tell you a lot about the person running."

[Related: It’s not over: Democrats vow to investigate Kavanaugh]

Feinstein, the top Democrat on the Senate Judiciary Committee, said Wednesday during a debate with her challenger, Democratic state Sen. Kevin de Leon, that she was open to another inquiry into sexual misconduct allegations against Kavanaugh, dating back to the 1980s. The new Supreme Court justice has denied all the accusations leveled against him.

Graham, who is a GOP member of the panel, said Wednesday the idea was ludicrous because an investigation had already been conducted and revisiting the matter would just mete out more humiliation for Kavanaugh and his family.

"It's not funny, but in a way it is," Graham said. "I mean, apparently one kick of the mule was not enough for Sen. Feinstein."