Senate Minority Leader Mitch McConnell (R-Ky.) didn’t write off the possibility that Republicans could use the filibuster against President Barack Obama’s Supreme Court nominee, but he said it was unlikely that his party would do so.

“It’s highly unlikely unless the nominee is an extraordinary individual outside the mainstream with really bizarre views,” McConnell said on “Fox News Sunday.”

McConnell, who attended a bipartisan meeting with the president on this issue last week, said Obama “didn’t tip his hand” on who he would pick. The Senator declined to comment on the list of potential nominees.

“It ought to be an orderly process, not a rush to judgment,” McConnell said. “This is a lifetime appointment, a very significant position, and we’re going to go through the process fairly.”