Some senior Senate Republicans on Tuesday moved to slam the door shut on any Supreme Court nomination President Barack Obama will make as they voiced opposition to even committee hearings on a replacement for the late Justice Antonin Scalia.

"That's the consensus view. ... No hearing, no vote," Senate Judiciary Committee member Lindsey Graham told reporters after leaving a private meeting of the panel's Republicans with Senate Majority Leader Mitch McConnell.

Separately, Senator John Cornyn, the second-ranking Republican behind McConnell, said, "Correct," when asked by Reuters whether the path forward on any Obama nominee would be to deny that person a committee hearing.