Sister of Supreme Court hopeful shares stories with host Laura Ingraham.
The president is expected to make the announcement during a White House event on Saturday. Barrett currently serves as a judge on the 7th Circuit Court of Appeals.
Trump, who has a campaign rally scheduled Friday night in Virginia, declined to say who he will announce when pressed by reporters.
The announcement is certain to ignite a bruising election-year confirmation battle, as Senate Majority Leader Mitch McConnell has vowed to put up Trump’s nominee for a vote.
Ginsburg died a week ago.
Barrett has long been considered a front-runner for the seat after she was closely examined to potentially replace former Justice Anthony Kennedy’s on the high court. Trump eventually selected Justice Brett Kavanaugh for the slot, news outlets reported that Trump at the time said he was “saving her for Ginsburg.”
The appeals court judge is a former Notre Dame professor and a devout Catholic, a fact that was controversial at her 2017 confirmation hearing to her current seat on the 7th Circuit.
“The dogma lives loudly within you, and that’s of concern,” Senate Judiciary Committee Ranking Member Dianne Feinstein, D-Calif., told Barrett. She was eventually confirmed 55-43.
Barrett, a former clerk for the late Justice Antonin Scalia, is 48 years old.
She is a favorite of religious conservatives, an important well of support for Trump.
Fox News’ Alex Pappas contributed to this report.