Obama leads 47-42, down from 50-42 in the same poll from March.

That’s in line with the Real Clear Politics average of polls, although a survey from conservative polling outlet Rasmussen released this week showed the two candidates tied in Virginia.

Obama’s lead would still be 5 points even if Romney were to add Virginia Gov. Bob McDonnell to the ticket. McDonnell is frequently mentioned as a potential Republican vice presidential candidate.

While Romney has made inroads among female voters nationally, women continue to buoy Obama in Virginia, where he leads 51-35. Romney has a 5 percent lead among men in the state.

Obama also leads 45-37 among independents in Virginia. Independents have so far tended to favor Romney nationally.

In a Web video released on Monday, Obama campaign manager Jim Messina identified Virginia as one of eight toss-up states that will be critical in determining the outcome of the 2012 election.

 Virginia was a reliably Republican state in presidential elections until 2008, when Obama defeated Sen. John McCainJohn McCainMeghan McCain: Obama 'a dirty capitalist like the rest of us' Top commander: Don't bet on China reining in North Korea Trudeau, Trump speak for second night about US-Canada trade MORE (R-Ariz.) by 6 percent there. 

The president started off his campaign in Virginia in early May, and Romney received the endorsement of Rep. Michele BachmannMichele Bachmann'Real Housewives' producer 'begging' Conway to join cast Ex-rep admires furs amid PETA inaugural gala Why Republicans took aim at an ethics watchdog MORE (R-Minn.) at a campaign stop there just prior, where he was joined by McDonnell.