The shooting happened around 11:30 p.m. on Tuesday at the 1200-block of South Fairfield Avenue in Douglass Park.
Chicago police found a 35-year-old man in the back of a residence with two gunshot wounds to the back of the head.
The victim told police he was being chased by an unknown offender who started shooting at him.
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The man was sent to Mt. Sinai hospital in critical condition.
No one is in custody. Area Four Detectives are investigating.
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