(CNN) — Senate Majority Leader Harry Reid will likely meet later this week with Joe Lieberman to discuss whether the Democrat-turned-Independent will be stripped of his Senate committee chairmanship, a senior Democratic leadership aide tells CNN.

Lieberman currently chairs the Senate's Homeland Security and Governmental Affairs Committee.

This aide says that Reid, who is calling the meeting, has not yet decided what to do. The aide admits that the decision will be determined in part by the final election results tonight — and just how close the party is to a filibuster-proof 60-seat majority — but insists that the biggest factor involved is lingering anger among Senate Democrats over Lieberman's Republican convention speech.

This aide also said that Senate Democrats aren't that upset about Lieberman's constant presence and cheerleading on the campaign trail with John McCain — instead, they've been put off by the things he said about Barack Obama at the Republican convention in St. Paul.