The woman, 32, was crossing North Avenue when police said the SUV struck her as it was turning left to head south on Damen Avenue from North Avenue at about 5:45 p.m.
The SUV then fled west on North Avenue. The woman was transported to the hospital in fair condition.
Police have released surveillance images of the suspect's vehicle.
The Major Accident Investigation Unit is investigating the crash. Anyone with information is asked to contact Traffic Specialist Del Coiro at (312) 745-4521, and anonymous tips can be sent to cpdtip.com.