The name game is well underway for potential candidates to succeed the late U.S. Supreme Court Justice Antonin Scalia, including three public officials who would further diversify the court: Judge Sri Srinivasan of the U.S. Court of Appeals for the D.C. Circuit, Homeland Security Secretary Jeh Johnson and California Attorney General Kamala Harris.

Lawyers with White House ties and connections to the high court—remote or otherwise—have been busy speculating on picks and strategizing which names would have the best chance of approval by a Republican-led Senate whose leaders have already vowed to block any nominees.