Two new polls released Thursday indicate President Barack Obama is holding a steady advantage in the key swing state of Wisconsin.

The president maintains a 49%-43% advantage over Republican rival Mitt Romney in the Badger State, according to a Norbert College/Wisconsin Public Radio survey.

The six-point margin falls within the poll's sampling error, leaving the two candidates statistically tied. Meanwhile, 7% of registered voters said they were undecided or not sure who they would choose if the election were held today.

A separate poll out Thursday also shows Obama ahead of Romney in Wisconsin. According to a Reason-Rupe survey, 46% of voters said they would re-elect the president, compared to 36% who said they would back Romney.

Six percent said they would vote for Libertarian candidate Gary Johnson, and 10% said they did not know who they would pick.

Obama carried Wisconsin in 2008 by a big margin over Republican nominee John McCain. But the president may face a tough fight in November, as the GOP picked up a governor's seat and two House seats in 2010.

However, the state's Republican governor, Scott Walker, is working to survive a June recall election following last year's ugly fight between the state and labor unions over a bill to curtail collective bargaining rights for public employees.

Both polls showed Walker ahead of the Democratic candidate in the race, Tom Barrett.

The St. Norbert College/Wisconsin Public Radio poll was conducted between May 17 and May 22, with 406 likely voters questioned by telephone. The survey's sampling error is plus or minus five percentage points.

The Reason-Rupe poll was conducted between May 14 and May 18, with 609 likely voters questioned by telephone. The survey's sampling error is plus or minus four percentage points.