Hutchinson said Trotter, who was arrested at O'Hare after security discovered a gun in his carry-on bag, is an unwanted distraction for voters in the 2nd Congressional District.
Trotter and Hutchinson are among nearly a dozen candidates vying for the seat left open when Jesse Jackson Jr. resigned.
"We've had three congressmen in a row leave with issues, with scandals and legal issues and I think people are ready to turn the page," said Hutchinson.
Meanwhile, Chicago police said Trotter will not be charged with owning an unregistered handgun in the city. Trotter told investigators he kept the pistol in Springfield.