A new Suffolk University poll gives President Obama just a 3 point lead, 46-43 percent, over Republican candidate Mitt Romney in the Sunshine state, within the poll’s 4-point margin of error. Another 7 percent are undecided and the rest split among third party candidates, including Libertarian Gary Johnson, Green Party nominee Jill Stein, and Peace and Freedom Party nominee Roseanne Barr.

The poll of 600 registered voters shows Obama clinging to a slim lead that he has maintained in the crucial swing state since last month. The RealClearPolitics.com polling average currently gives him a three point lead in there.

Suffolk University notes:

Romney continues to struggle with his likability.  His 45 percent favorable rating is 3 points higher than in a survey the Suffolk University Political Research Center conducted in May; yet his unfavorable rating is also up 2 points, to 47 percent today.

Obama has been consistently more popular, with a 51 percent favorable and 46 percent unfavorable rating.

In the Senate race, Democratic incumbent Bill Nelson leads Republican Connie Mack, 40-34 percent.