Two years ago, some state Democrats wanted to censure Lieberman for his actions. Ultimately, he was sent a stern letter. Since that time, he has had scant interaction with the party.
Lieberman told The Associated Press late last month that he was considering whether to seek another term in the Senate.
"It's a difficult decision for me because I really have loved my service here in the Senate, and I feel privileged to be here," he said. "I guess the question is — and I think you've always got to ask is — 'Now, after 22 years, 24 years after this term is over, do I want to do it again? Or, do I want to try something else?' That's the question you've got to answer."