No, Hillary Clinton will not be President Barack Obama's Supreme Court nominee.

That's the message from the White House on Monday, amidst growing speculations that the Secretary of State might be tapped to replace retiring Justice John Paul Stevens.

"The President thinks Secretary Clinton is doing an excellent job as Secretary of State and wants her to remain in that position," said White House spokesman Tommy Vietor, Politico's Ben Smith reports.

Sen. Orrin Hatch (R-UT) fueled the discussion when he floated Clinton as a possibility, saying Monday morning on NBC's "The Today Show" that he has "high respect for her" and thinks a "great deal of" Obama's chief rival for the Democratic nomination in 2008.

The idea was suggested soon after Stevens announced his intention to retire this year.

"I've always been partial to the idea of seeing Hillary Clinton appointed to the Supreme Court," wrote Ezra Klein on the Washington Post Friday. "She's got a law degree, of course. She's practiced law, practiced politics and practiced statecraft. She's been present in both the executive and the legislative branch. She's done an enormous amount of retail politics, which I think is useful."

Daily Kos founder Markos Moulitsas re-tweeted a note Friday that read: "What about Hillary as Supreme Court nominee?"

According to CBS News, "The short list of potential nominees is said to include Federal Appellate Judge Diane Wood, Solicitor General Elena Kagan and Federal Judge Merrick Garland."