Cecil Conner was convicted in the death of 5-year-old Michael Langford Jr.
During his trial, Conner said he was following orders from a Chicago Heights police officer when he tried to drive the boy home in May 2010.
The officer had arrested the boy's mother for driving on a suspended license.
Defense attorneys say Conner's jailhouse conversations were recorded without their knowledge and that's why they're asking for a new trial.