The survey, from Democratic firm Public Policy Polling, indicates Jindal is one of the most unpopular governors in the nation, with only 37 percent of Louisiana voters approving of his job performance, while 57 percent disapprove.

Jindal’s popularity has also sharply declined among Republicans from a 81-13 positive split in August 2010 to 59 percent approval with 35 percent disapproving in the new poll.

As Jindal can't seek reelection in 2015, he's considered a possible contender for Louisiana's Senate seat, which Landrieu will defend in what's expected to be a fierce fight, regardless of her GOP challenger. The poll indicates she starts out solidly ahead of all potential contenders, but also offers evidence she may be vulnerable.

Jindal trails Landrieu in a hypothetical matchup 49-41. 

The closest Republican contender, Lt. Gov. Jay Dardenne, lags Landrieu by only three percentage points. He has 43 percent support to her 46 percent support, and is seen positively by Democrats and Republicans in the state.

Against Rep. Charles BoustanyCharles William BoustanyDems face hard choice for State of the Union response Americans worried about retirement should look to employee ownership Top Lobbyists 2017: Hired Guns MORE, Landrieu leads with 48 percent support to his 42 percent, while former Rep. Jeff Landry takes 39 percent support to Landrieu's 48 percent. She leads Reps. Steve Scalise and Bill Cassidy by 10 percent each, and Rep. John FlemingJohn Calvin FlemingCoast Guard suspends search for missing Ohio plane Freedom Caucus member to bring up bill on impeaching IRS chief GOP seeks to make it 52 MORE by 12 percent.

However, Landrieu remains under the 50 percent support threshold considered comfortable in nearly all matchups tested, except against Cassidy and Fleming. And most of the congressmen remain unknown in the state, indicating that if any of them jumped in the race early and were able to boost their name identification, they may have a shot at toppling Landrieu.

She, however, has been preparing for the race, and currently has more than $2.5 million cash on hand to help her reelection efforts.

The poll was conducted among 603 Louisiana voters from Feb. 8-12 and has a 4-point margin of error.