The statewide poll by Public Policy Polling surveyed 600 Louisiana voters to see who would win in a head-to-head match-up between New Orleans Mayor Mitch Landrieu and U.S. Senator David Vitter.
Each received 43-percent of the vote.
Landrieu is a Democrat, and Vitter is a Republican.
The poll also asked voters who they would elect for governor if it was between Landrieu and Lt. Governor Jay Dardenne, also a Republican.
The survey indicated the democratic mayor would win by a slight margin.
University of Louisiana Political Science Professor Joshua Stockley says there will be a lot of pressure on Landrieu to run for governor, given his popularity. He says if the New Orleans mayor has no intentions of running, then the Democratic Party needs to groom a candidate soon.
Landrieu is up for reelection as Mayor in 2014.
The next gubernatorial race is in 2015.