Story highlights A new CNN/ORC poll finds 58% of Americans say they'd like to see the President nominate someone to the Supreme Court to replace Antonin Scalia

The survey also finds 66% say that whomever Obama nominates should get a hearing in the Senate

The poll finds Obama has gotten a small boost in his approval rating over the last month

The poll also finds those surveyed are also split on whether Senate Republicans would be justified in using the filibuster or other procedural moves to prevent a vote on a nominee they oppose.

Photos: Today's Supreme Court Photos: Today's Supreme Court The justices of the US Supreme Court sit for an official photograph on June 1, 2017. In the front row, from left, are Ruth Bader Ginsburg, Anthony Kennedy, Chief Justice John Roberts, Clarence Thomas and Stephen Breyer. In the back row, from left, are Elena Kagan, Samuel Alito, Sonia Sotomayor and Neil Gorsuch. Hide Caption 1 of 10 Photos: Today's Supreme Court In 2005, John Roberts was nominated by President George W. Bush to succeed Sandra Day O'Connor as an associate justice on the US Supreme Court. After Chief Justice William Rehnquist died, Bush named Roberts to the chief justice post. The court has moved to the right during Roberts' tenure, although Roberts supplied the key vote to uphold Barack Obama's Affordable Care Act. Hide Caption 2 of 10 Photos: Today's Supreme Court Anthony Kennedy was appointed to the court by President Ronald Reagan in 1988. He is a conservative justice but has provided crucial swing votes in many cases. He has authored landmark opinions that include Obergefell v. Hodges, which legalized same-sex marriage nationwide. Hide Caption 3 of 10 Photos: Today's Supreme Court Clarence Thomas is the second African-American to serve on the court, succeeding Thurgood Marshall when he was appointed by President George H. W. Bush in 1991. Thomas is a conservative and a strict constructionist who supports states' rights. Hide Caption 4 of 10 Photos: Today's Supreme Court Ruth Bader Ginsburg is the second woman to serve on the Supreme Court. Appointed by President Bill Clinton in 1993, she is a strong voice in the court's liberal wing. Hide Caption 5 of 10 Photos: Today's Supreme Court Stephen Breyer was appointed by Clinton in 1994 and is part of the court's liberal wing. Hide Caption 6 of 10 Photos: Today's Supreme Court Samuel Alito was appointed by President George W. Bush in 2006 and is known as one of the most conservative justices to serve on the court in modern times. Hide Caption 7 of 10 Photos: Today's Supreme Court Sonia Sotomayor is the court's first Hispanic and third female justice. She was appointed by Obama in 2009 and is regarded as a resolutely liberal member of the court. Hide Caption 8 of 10 Photos: Today's Supreme Court Elena Kagan is the fourth female justice to ever be appointed, and she is counted among the court's liberal wing. She was appointed by Obama in 2010 at the age of 50. She is the court's youngest member. Hide Caption 9 of 10 Photos: Today's Supreme Court Neil Gorsuch is the court's newest member. He was chosen by President Donald Trump to replace Antonin Scalia, who died in 2016. Hide Caption 10 of 10

Overall, 58% say they'd like to see the President nominate someone to the Court rather than leave the seat vacant until a new president takes office next year, 41% would prefer a vacancy.

And more -- 66% -- say that whomever Obama nominates should get a hearing in the Senate. But once that happens, 48% say that if most or all Republicans in the Senate oppose Obama's nominee, they would be justified in preventing a vote to confirm him or her.

Obama has said he does plan to nominate someone for the seat, and has called on the Senate to vote on his nominee. Kentucky Sen. Mitch McConnell, the Senate Majority Leader, has said the Senate Judiciary Committee would not hold hearings on any nominee put forward by Obama, nor would the full body vote on Obama's choice.

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