Barbara Lagoa, a Cuban American, and Amy Coney Barrett, a conservative Catholic, were among the top contenders, the source said.
Both women were nominated to their current positions by Trump.
Lagoa, 52, a former Florida Supreme Court judge, was nominated by Trump to the 11th Circuit Court of Appeals in September of 2019.
Prior to that she spent less than a year on Florida’s Supreme Court, where she was the first Latina judge. She previously spent more than a decade as a judge on an intermediate appeals court in Florida.
She was confirmed by the Senate in an 80-15 vote in November, as the Democrat-controlled House was holding impeachment proceedings against Trump. The bipartisan support that vote showed could make her the top candidate, one Republican donor who advises the White House said.
Barrett, a married 48-year-old mother of seven, was a legal scholar at Notre Dame Law School in Indiana before Trump appointed her to the Chicago-based 7th Circuit in 2017.
A Barrett nomination would likely be more controversial. Her strong conservative religious views have prompted abortion-rights groups to say that if confirmed by the Republican-led U.S. Senate, she would likely vote to overturn the landmark 1973 Roe v. Wade Supreme Court decision that legalized abortion nationwide.
Barrett was confirmed by the Senate in a narrower vote than Lagoa, 55-43, in October of 2017. Reporting by Steve Holland and Heather Timmons; Writing by Lucia Mutikani; Editing by Daniel Wallis