The survey of 600 state residents had Blanco, a Democrat, leading Jindal, a former state and Bush administration official, 41 percent to 35 percent. The poll, conducted by the firm Market Research and Analysis out of Lafayette, La., was conducted between Tuesday and Friday night and has an error rate of 3.9 percent.
In the Oct. 4 open primary where all candidates face off against each other regardless of party, Jindal led the field, winning 33 percent of the vote.
He was followed by Blanco, who edged past outgoing state state Attorney General Richard Ieyoub with 18 percent.
The election is scheduled for Nov. 15.
Incumbent Gov. Mike Foster, a Republican, is leaving office after eight years as governor.