Carol Moseley Braun and Danny Davis sit together at a Rainbow-PUSH event on Jan. 1, 2011.
The poll also shows a little more than half -- 55 percent -- have made up their minds in the race, while 45 percent feel they could still change their minds.
Also of interest, the poll asked whether people "believe the media has provided fair coverage of all the candidates, or ... think that they have been biased toward their endorsed candidate?"
A whopping 61 percent of respondents say they belive coverage has been biased. And those numbers are even higher among those who said they would vote for either Miguel Del Valle, Moseley Braun or Chico.
The poll sampled 801 likely voters in the past few days, and carries a margin of error of 3.5 percent.
Moseley Braun is among the top candidates trying to win enough votes to force an April runoff. That would happen if the leading candidate -- which so far has been Emanuel -- fails to get 50 percent of the votes, plus one.