A new CBS News/New York Times poll shows that women, who make up the election season's key-voting block, favor Romney 46 percent over President Obama at 43 percent.
Romney also eked out a slight edge over President Obama among registered voters.
The poll conducted May 11-13 is a slight change from last month's poll where both candidates were locked in a dead heat, each garnering 46 percent support.
Despite President Obama's declaration in favor of same-sex marriage, the key issue for voters remained the economy.
Sixty-two percent of registered voters cited the economy, while 11 percent cited the budget deficit as the most pressing issue.
Nine percent chose healthcare, 7 percent picked same-sex marriage, 4 percent cited foreign policy and only 2 percent chose immigration.
Romney also led the president among independents at 43 percent to Obama's 36 percent, while Obama had an advantage among moderates.
Neither candidate received high favorability ratings, with the president holding 45 percent of the votes and Romney holding 31 percent.