The race between President Barack Obama and likely Republican nominee Mitt Romney is in a dead heat in Wisconsin, a poll released Wednesday indicated.

The survey from Marquette Law School showed both Obama and Romney garnering support from 46% of likely voters in Wisconsin. The numbers reflect a boost for Romney, who faced a four point deficit in the state the last time Marquette polled likely voters in April.

Obama's job approval rating stood at 46%, according to the poll, with 49% of likely voters disapproving of the job he's doing as president. That's a drop for the incumbent Democrat, who enjoyed a 50% approval rating in Wisconsin last month.

In terms of favorability, Obama is still ahead of his GOP rival, though his numbers are dropping. Forty-nine percent of likely Wisconsin voters view the president favorably, compared to 47% who say their feelings are unfavorable. Again, Obama's numbers have dropped since April, when his favorability in Wisconsin stood at 55%.

Romney's favorability in the state continued to head north, moving from 33% in April to 40% in Wednesday's survey. However, more voters in Wisconsin (44%) still have an unfavorable view of the former Massachusetts governor.

Obama won Wisconsin by a fairly large margin in 2008, beating Sen. John McCain 56%-42%. The state last voted for a Republican presidential candidate in 1984, but is considered very much in play in 2012.

Wisconsin is currently mired in a bitter gubernatorial recall election, pitting Republican Gov. Scott Walker against Democratic Mayor Tom Barrett. Democrats gathered enough petitions to recall Walker after he cut collective bargaining for union workers, sparking massive protests at the state capitol.

The Marquette Law School poll was conducted by phone from 600 likely voters between May 9-12. The sampling error was plus or minus 3.8 percentage points.