The poll could be an outlier — Obama only leads Romney by only 3.7 percentage points, according to the Real Clear Politics average of polls in Virginia.

Obama won Virginia 53 to 46 percent over Sen. John McCainJohn McCainRepublicans tie Trump's Defense pick to funding fight Lawmakers haggle over funding bill as shutdown nears Markos Moulitsas: Kill the filibuster MORE (R-Ariz.) in 2008. It was the first time since 1964 the state had gone to the Democratic presidential candidate.

Ten percent of Virginians were undecided in the poll, and 4 percent were divided between Libertarian candidate and former New Mexico Gov. Gary Johnson, Green Party candidate Jill Stein and former Virginia congressman and Constitution Party candidate Virgil Goode, all of whom will be on the state's ballot in November.

The Roanoke College Poll of 589 likely voters in Virginia was conducted between Sept. 19 and Sept. 28 and has a 4 percent margin of error.