Rep. Adam Kinzinger (R-Ill.) has a 13-point lead over Rep. Don Manzullo (R-Ill.) in their primary match-up, according to a new poll.

Kinzinger holds a 47-34 percent lead over Manzullo, according to the poll, conducted by pollster We Ask America.

Kinzinger won his seat convincingly in 2010, but his district was dismantled by redistricting. He decided to run in a new district that included some of his old territory as well as much of longtime Rep. Manzullo's.

The pollster also surveyed the Democrat-on-Democrat primary between Rep. Jesse Jackson Jr. (Ill.) and former Rep. Debbie Halvorson (Ill.), and showed Jackson Jr. with a 54-32 percent edge. The district is heavily African-American and covers much of his old territory, but Halvorson was banking on Jackson's ongoing ethics issues to make the race close.

Both polls were conducted in the last few days. The GOP poll had a margin of error of plus or minus 2.6 percent, while the Democratic poll had a margin of error of plus or minus 2.7.

The Illinois primary is about one month away.