State Treasurer Alexi Giannoulias (D) had a slight but statistically insignificant lead over likely GOP nominee Rep. Mark Kirk in the 2010 Senate race, according to a poll released by the Democrat’s campaign.

Giannoulias led Kirk 46 percent to 43 percent, according to a survey done by Greenberg Quinlan Rosner Research and paid for by Giannoulias’ campaign.

The survey also tested a matchup between Kirk and former Chicago Inspector General David Hoffman (D). In that ballot test, Kirk led Hoffman, 48 percent to 39 percent.

Giannoulias also led Kirk in the Chicago media market, 51 percent to 38 percent, according to the poll. Hoffman trailed Kirk in the same market, 41 percent to 47 percent.

The polling memo released by Giannoulias’ campaign did not release any data on the primary matchup between Giannoulias and Hoffman or any information on how well-known each of the candidates is in the state.

The survey took the opinions of 805 likely general election voters Oct. 25-28 and had a margin of error of 3.5 points. Other announced Democrats in the race, former Chicago Urban League President Cheryle Robinson Jackson and attorney Jacob Meister, were not included in the ballot tests released in the polling memo.