That provocative possibility has long been whispered in legal and political circles ever since Sen. Hillary Clinton became a viable candidate for the Democratic presidential nomination. Now a respected conservative law professor has openly predicted a future President Clinton would name her husband to the high court if a vacancy occurred.

Pepperdine Law School's Douglas Kmiec said, "The former president would be intrigued by court service and many would cheer him on."

Kmiec worked in the Reagan and Bush 41 White Houses as a top lawyer, but said he has no personal or political "disdain" for Bill Clinton.

CNN talked with several political and legal analysts of both ideological stripes, and while several laughed at the possibility, none would rule it out completely. And all those who spoke did so on background only.

There is precedent for such a nomination: William Howard Taft, who called his time as chief justice, from 1921 to 1930, the most rewarding of his career. He was president from 1909 to 1913.

As one Democratic political analyst said, "You may recall recent trial balloons that Mr. Clinton was perhaps interested in becoming U.N. secretary-general. If he is grasping for a similarly large stage to fill his ambitions and ego, what better place than the nation's highest court, where could serve for life if he wanted?"

But a conservative lawyer who argues regularly before the high court noted Chief Justice John Roberts is fully entrenched in his position, and that might be the only high court spot Clinton would want. He also might not enjoy the relative self-imposed anonymity the justices rely on to do their jobs free of political and public pressures.

"Court arguments are not televised, and most justices shy away from publicity as a matter of respect for the court's integrity," said this lawyer. "Could Justice Clinton follow their example?"

Politics, however, may trump family ties. Perhaps three justices or more could retire in the next four to eight years, among them some of the more liberal members of the bench. The new president might face competing pressures to name a woman, a minority — especially a Hispanic or an Asian-American — and a younger judge or lawyer to fill any vacancies, three qualifications a white male in his 60s like Clinton would not have.

"This particular idea has zero chance of coming true," said Thomas Goldstein, a top appellate attorney who writes on his popular Web site, scotusblog.com.

The more immediate effect of such talk might be more practical: it could help motivate conservative voters in an election year to ensure no Clinton ever reaches the White House or the Supreme Court anytime soon.