Sen. Joe Lieberman suggested Sunday he would support military intervention in Syria if its president resorts to the kind of violent tactics used by Libya's Muammar al-Qaddafi.

Dozens reportedly have been killed in protests against Syrian President Bashar al-Assad's government, raising questions about whether the international community would get involved.

Lieberman, chairman of the Senate Homeland Security Committee, told "Fox News Sunday" that if Assad starts slaughtering his own people, he will risk other countries imposing a no-fly zone "just as we're doing in Libya." He urged Assad to, instead, negotiate with the "freedom fighters" in his country.

"There's a precedent now that the world community has set in Libya, and it's the right one," Lieberman said.

The Obama administration, though, pushed back on suggestions that the United States could support another intervention.

Secretary of State Hillary Clinton said Sunday she doesn't expect that to happen, describing the clashes in Syria as part of a "police action" -- as opposed to a military campaign against the Syrian people.

"Each of these situations is unique," she said on CBS' "Face the Nation." "Certainly we deplore the violence in Syria."