Several U-S House members from Louisiana are expressing interest.
Republicans Bill Cassidy, Charles Boustany, and John Fleming are potential challengers.
University of Louisiana Political Science Professor Pearson Cross says Cassidy has about two-million dollars in his campaign fund and could be the republican's best chance to knock off Landrieu.
"He's been looking at making this race for a bit longer. He's positioned in the center of the state, in Baton Rouge. He's a good speaker and I think he'd be a formidable candidate," says Cross.
Former Congressman Jeff Landry and BESE President Chas Roemer have also indicated they may run against Landrieu next year.
Cross says he's somewhat surprised Boustany would consider a Senate campaign after a tough race against former Congressman Jeff Landry last fall.
"I guess he feels like, 'What the heck. In two years I've got to run for office anyway. Might as well try to take a step up.' But he should be warned that lots of congressmen try to become senators and not that many succeed," Cross says.
Cross says at this point, Landrieu is expected to win a 4th term.
"Polls show her running well against all of the challengers. Although, frankly, two years out from the election, anything can happen."