[cnn-photo-caption image= http://i2.cdn.turner.com/cnn/2009/images/04/22/art.corzine.gi.jpg
caption=" A new CNN poll shows New Jersey Gov. Jon Corzine facing a tougher battle with Chris Christie."]
(CNN) - A new poll of New Jersey voters suggests this year's gubernatorial battle between incumbent Democrat Jon Corzine and Republican challenger Chris Christie may be tightening up a bit.
A Fairleigh Dickinson University survey released Wednesday indicates that Christie has a 6 point lead, 45 percent to 39 percent, over Corzine, with 15 percent undecided. Christie had a 9 point lead over Corzine in a Fairleigh Dickinson University poll in April.
Just one in five of those questioned in the poll say New Jersey's on the right track, and only one in four say Corzine's doing good or excellent job as governor.
Christie, the former U.S. attorney for New Jersey, is trying to become the first Republican to win statewide office in New Jersey since then-governor Christie Todd Whitman won re-election in 1997.
"Even though it's early in the campaign, it is remarkable that a Republican is running ahead in New Jersey," said Peter Woolley, director of the poll.
Christie, considered a moderate Republican, led Corzine by 10 points in a Quinnipiac University survey released earlier this month.
National Republicans are gunning for victories in New Jersey and Virginia, the other state with a gubernatorial contest this year, as they try to rebound from their poor showing in last year's elections. In Virginia, the Democratic governor is term-limited and can't run for re-election.
The Fairleigh Dickinson University poll was conducted June 22-29, with 803 registered New Jersey voters questioned by telephone. The survey's sampling error is plus or minus 3.5 percentage points.