Seventh Circuit Judge Diane S. Sykes was one of the first judges mentioned by President-elect Donald Trump as a potential U.S. Supreme Court nominee.

Trump has said he’ll choose someone from his short list of 21 potential high court nominees, which includes Sykes, to replace Justice Antonin Scalia, who died unexpectedly Feb. 13.

The self-described “judicial conservative” would likely face easier confirmation hearings than her fellow rumored front-runner, Eleventh Circuit Judge William H. Pryor.

But, if nominated, she could face scrutiny...