(CNN) - Less than a month before Election Day, Republican Gov. Chris Christie maintains a significant lead over his Democratic challenger Barbara Buono in his re-election bid for governor of New Jersey, according to a poll released Thursday.
And while the Quinnipiac University survey shows the incumbent governor ahead of Buono, a state senator, by a margin of 62%-33% among likely voters, it also indicates that voters largely disagree with Christie on his opposition to legalizing same-sex marriage in the Garden State.
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The new survey was conducted entirely before the two candidates squared off in their first debate Tuesday night, and remains largely unchanged from a Quinnipiac survey released two weeks ago, when Christie had 64% support and Buono had 30%.
While Buono has been vocal on women's issues, she trails in support among women in the latest poll, 36% to Christie's 59%. Men also back the Republican governor 64% to 30%.
Maurice Carroll, director of the Quinnipiac University Polling Institute, said Christie's strong lead among women helps drive his overall lead against his opponent.
"Is sisterhood kaput in this election?...Gov. Christopher Christie has a huge 23-point lead among women voters, part of his 2-1 dominance overall," he said in a news release about the poll.
A large portion of voters still don't know enough about Buono to make a decision, Carroll added. Thirty-four percent say they haven't heard enough about her to form an opinion, while 29% have a negative view of her and 35% have a positive view.
Carroll notes that could change now that the two have had a televised debate, with another one scheduled for Tuesday night, just weeks before the November 5 election.
While Christie has a positive favorability rating, New Jersey voters aren't as pleased with his opposition to a state judge's ruling in favor of same-sex marriage in New Jersey. Sixty-one percent of likely voters say the potential 2016 presidential contender should end his appeal to the ruling, according to the survey.
"New Jersey likely voters support same-sex marriage any way they can get it. By almost 2-1, including a lot of Republicans, they want Gov. Christie to drop his appeal," Carroll said.
A majority of voters–59%–say the state legislature should override Christie's 2012 veto of a bill allowing same-sex marriage in New Jersey. Christie has long said the decision should be left up to the voters in a state referendum.
Quinnipiac surveyed 1,144 likely voters by telephone in New Jersey from October 5-7. The poll has a sampling error of plus or minus 2.9 percentage points.