Authorities say Renfroe died last week after his family asked that he be removed from life support.
The sheriff's office on Wednesday said investigators are still waiting for autopsy results and toxicology reports.
Renfroe was arrested May 18 just before 6:30 a.m. by the Gilberts Police Department. He was put into a cell 12 hours later. The Kane County Sheriff's Office says that Renfroe became unconscious sometime between two cell checks by a guard at 1:55 a.m. and 2:12 a.m. May 19.
Medical staff and corrections officers on duty performed CPR on Renfroe until the arrival of Fox River Fire Department paramedics.
Renfroe was taken to Delnor Hospital's emergency room, then to the intensive care unit. He died May 24.
The Associated Press contributed to this report.