The shooting occurred at about 12:29 a.m. in the 1200-block of West 68th Street.
Police said the 49-year-old victim got into a verbal altercation with a male subject after attempting to make a food delivery when someone fired shots.
The victim was shot in the head and transported to the University of Chicago Medical Center in critical condition, police said.
No one is in custody. Area One detectives are investigating.
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