Police identified the suspect Saturday as 30-year-old Jermaine Crosley.
It happened just after 2 p.m. Saturday along the 500 block of Timberlake Road.
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Upon arrival, police say they found the 35-year-old victim lying on the ground with a gunshot wound to his chest.
He was rushed to the hospital where he was pronounced dead a short time later.
Police say Crosley had been staying with the victim prior to the shooting.
He has a violent criminal history spanning four states, police say.