Lindsey Graham, the South Carolina Republican who sits on the Senate Judiciary committee, put it plainly. “There’ll be no hearing, no votes until the next president,” Graham said Tuesday as he left the first weekly GOP conference meeting since the death of Antonin Scalia.

The passing of the justice after 30 years on the Supreme Court has offered Barack Obama the chance to replace the conservative Scalia with a justice more aligned with the president. But Republican leaders in the Senate have insisted that with an election already underway, the next president should be the one to appoint someone to the high court. And on Tuesday, the Republican majority on the Judiciary committee unanimously agreed that the Senate should not hold hearings on anyone Obama nominates.