Maurice Carroll, director of the QuinnipiacUniversityPollingInstitute, said Weiner "jumps into the mix at 15 percent" because of high name recognition.
But the survey by QuinnipiacUniversityPollingInstitute showed Mr Romney topped Barack Obama 47-40% in a possible 2012 contest, with Mr Obama beating Mr Perry 44-42%.
"Not all that many years ago the best people shied away from Sharpton, but he has remade himself and is still in the process, " said Maurice Carroll, who heads the QuinnipiacUniversityPollingInstitute.