"I haven't said it was her but she is outstanding," he said.
If confirmed to replace Ginsburg, the court's most liberal member who died last week, Barrett, 48, would likely give conservatives a solid 6-3 majority on the court that could leave its imprint for a generation.
Based on her writings as a law professor, antiabortion activists are convinced she would provide the crucial vote on the court to overturn or severely restrict Roe vs. Wade, the 1973 decision that legalized abortion nationwide. She also has expressed a broad view of the Second Amendment's right to bear arms, potentially providing a vote to strike down some state or local gun restrictions.
Senate Majority Leader Mitch McConnell, R-Ky., has pledged that the Senate will vote on Trump's nominee. He has not said publicly that the vote will take place before the election, but Senate leaders have begun making preparations for a fast-track process aimed at making that possible.
Democrats have insisted that the winner of November's election should be allowed to fill the vacancy on the court - a position that a majority of the public appears to agree with, according to recent polls. A move to confirm Barrett before the election could endanger some incumbent Republicans seeking reelection this year.
Democrats are particularly incensed that McConnell is moving ahead with the current nomination after he refused to hold hearings or a vote ahead of the 2016 presidential election for Merrick Garland, President Barack Obama's pick to replace Justice Antonin Scalia. At the time, he argued that voters should have a say in the future of the court.
But Republican leaders, who fear they could lose their Senate majority and the White House in the election, appear to have decided that strengthening a conservative majority on the court that could last for decades is worth the potential political price.
Barrett, given her youth and sterling conservative credentials, appears to many Republicans as a near-perfect candidate.
Early in her judicial career, Barrett clerked for Scalia, considered the leading conservative on the court for three decades before he died in 2016.
Like Scalia, she is considered an originalist, a philosophy whose adherents believe they are upholding the founders' original intent when interpreting the Constitution and cast a skeptical eye on later, more expansive interpretations of rights.