The poll also found that Obama is viewed more favorably than unfavorably among Virginia voters. According to the Suffolk University/NBC12 poll, 52 percent view Obama favorably, while 44 percent have an unfavorable view of him. Meanwhile, 42 percent said they view Romney favorably, while 45 percent have an unfavorable view of him.
"Barack Obama shows personal popularity and strength, especially outside of the D.C. area in northern Virginia," Suffolk University Political Research Center director David Paleologos said.
But Paleologos added that Obama will have trouble gaining any more ground for himself.
"However, with job approval and head-to-head numbers stuck at 46 percent, it will be a significant challenge for Obama to convince the remaining undecided voters to re-elect him," Paleologos said.
The margin among Virginians was much wider in Obama's favor when it came to who is likely to fair better in the upcoming presidential debates. Forty-six percent said Obama is better at debates, while 19 percent said Romney is the better debater.
On specific issues, Virginians said the economy was the most important, the poll found. Fifty-one percent picked the economy as the top issue, while 14 percent named healthcare and 10 percent education. No other issue won more than 10 percent.
Not all of the poll's findings was good news for Obama. A majority of Virginians also said that the Obama administration's healthcare reform law would be bad for their states, the poll found.
The poll was conducted Sept. 24 to 26 among 600 likely general election voters in Virginia. The poll had a margin of error of 4 percentage points.