WASHINGTON (CNN) -- Despite a recent Time Magazine report that played up the possibility of Sen. Joe Lieberman jumping to the GOP side of the aisle in Senate, the Connecticut lawmaker called the chances of such a scenario "very remote."

"There's nothing new here," Lieberman told Connecticut affiliate WTNH. "I said the same thing to the reporter from Time that I've said to all of you, that I have no desire or intention to leave the Democratic Party or the Democratic Caucus."

The senator also denied a recently published story in the New Yorker magazine that said Democratic senators were increasingly isolating him, saying the only point of contention relates to his support of the president's call to increase troop levels in Iraq.

Lieberman was re-elected to a fourth term in 2006 as an Independent after losing the Democratic primary. State records show that he remains a registered Democrat.

-- CNN's Mary Snow and Shirley Zilberstein