WASHINGTON >> Concerted Republican opposition to considering President Barack Obama’s pick for the Supreme Court showed early signs of splintering on Wednesday as a handful of influential senators opened the door to a possible confirmation hearing. One Republican even suggested the president should nominate a candidate from his state.

Texas Sen. John Cornyn, the No. 2 Republican in the Senate, did not rule out a committee hearing on Obama’s forthcoming nominee to replace the late Justice Antonin Scalia. Sen. Lisa Murkowski, R-Alaska, went a step further and said she’d support such a move.

“I do believe that the nominee should get a hearing,” Murkowski, who’s running for re-election this fall, told reporters in Juneau, Alaska. “The question then becomes, we have a hearing on a nominee. But that doesn’t necessarily mean that that ends up in a vote.”

Sen. Dean Heller, R-Nev., said chances of Senate approval were slim but added that Obama should “use this opportunity to put the will of the people ahead of advancing a liberal agenda” on the high court.

“But should he decide to nominate someone to the Supreme Court, who knows — maybe it’ll be a Nevadan,” Heller said.

Sen. Orrin Hatch, R-Utah, who sits on the Senate Judiciary Committee, said he opposes a filibuster to prevent a vote, as some Republicans have suggested. Judiciary Chairman Charles Grassley, R-Iowa, has said he’d wait to see who Obama selects before ruling out a hearing in his committee.

Those senators formed a cautious but growing chorus of voices breaking with the absolutist position of Senate Majority Leader Mitch McConnell, who has told the White House not to even bother nominating a candidate. The Kentucky Republican and several Republicans up for re-election have maintained that voters in November’s presidential election should have a say in the direction of the nation’s highest court.

Cornyn, McConnell’s deputy, agreed that it should be left to the next president to pick Scalia’s successor. Still, Cornyn said it was up to Grassley to decide whether to schedule a hearing, and to McConnell to decide on a full Senate vote if the Judiciary Committee were to vote on the nominee.

“It’s entirely up to the Senate whether to confirm that nomination, and I think we should not,” Cornyn said on Dallas radio station KSKY’s “The Mark Davis Show.”

McConnell has shown no signs of softening his opposition to confirming an Obama nominee, which could put vulnerable Republicans in a precarious position as his party works to keep control of the Senate in the November elections. But Senate Democratic leader Harry Reid predicted Republicans would “cave in” and said he hoped Obama would announce a selection “in the next 10 days or so.”

Reid said he believes McConnell “has made a terrible mistake by saying that he is going to ignore the president.” He added: “The American people are going to make them pay if they jerk the president around on this.”

Wrangling over replacing Scalia came as preparations were ramping up to honor the conservative firebrand’s life and legacy on the court. The president and first lady Michelle Obama planned to pay their respects Friday when Scalia lies in repose at the Supreme Court, and Vice President Joe Biden was to attend Scalia’s funeral on Saturday.

Vowing to exercise his responsibility to pick Scalia’s successor, Obama has sought to turn GOP resistance into a case study in Washington dysfunction.

“The American people expect the Senate is going to show up and do their job even though they have a big election around the corner,” said White House spokesman Josh Earnest.

Heller said people from Nevada “should have a voice in the process.” Among the names of potential candidates circulating in Washington corridors is Nevada Gov. Brian Sandoval — a Republican who supports abortion rights — although it would be unusual for Obama to nominate a candidate from the opposite party.

The pace of judicial confirmations always slows in presidential election years, thanks to reluctance by the party out of power in the White House to give lifetime tenure to their opponents’ picks. In the past, lawmakers have sometimes informally agreed to halt hearings on lower court nominations during campaign season. But Obama has argued that “the Supreme Court’s different.”

If Republicans seem seriously amenable to holding confirmation hearings, Obama would have greater reason to name a “consensus candidate,” a moderate nominee that Republicans would be hard-pressed to reject. If there’s virtually no chance of Republicans bending, Obama might pick a nominee who galvanizes Democratic support and fires up interest groups in the election year.

If no replacement is confirmed, the Supreme Court will operate with eight justices — not just for the rest of this court term, but for most of the next one as well. High court terms begin in October, and the 80 or so cases argued in the course of a term typically are decided by early summer.