When Senate Minority Leader Mitch McConnellMitch McConnellMcConnell backs miners health fix in funding bill Schumer: Funding deal possible if Trump drops border wall Disconnect: Trump, GOP not on same page MORE (R-Ariz.) goes to the White House tomorrow to discuss the vacancy on the Supreme Court, there's one thing he won't do: name names.

McConnell said Tuesday he will not take after his Democratic counterpart, Majority Leader Harry Reid (D-Nev.), by suggesting specific nominees to the president of the opposing party.

"No. I don't intend to suggest names," McConnell told reporters after the weekly GOP luncheon. "There may be others who do, but we certainly want to see the nominee treated fairly, and I think there needs to be a certain amount of time that needs to occur between nomination and confirmation so that you can review the record thoroughly."

McConnell said that Justices Roberts and Alito were models for providing records to the Senate well in advance of confirmation hearings, and encouraged President Obama to leave enough time for his appointee's record to be vetted by the Senate.