Keith Olbermann, the former top-rated host on the news channel MSNBC, will announce his next television home on Tuesday, and people on Monday familiar with his plans pointed to a deal with the public affairs channel Current TV.

Mr. Olbermann, his representatives and executives from Current TV declined to comment on the move, but they did not deny that the channel, which counts former Vice President Al Gore as one of its founders, will become at least one partner in Mr. Olbermann’s future media plans.

One of the people with knowledge of the plans said Mr. Olbermann would have an equity stake in Current TV. The people insisted on anonymity because they were not authorized by their employers to comment in advance of the official announcement.