Chicago Heights police have issued a warrant for Bishop's arrest.
Bishop is described as a black man, 6 feet tall, 193 lbs. with brown eyes.
Bishop is suspected in the fatal shooting of his former girlfriend Leasha Crockett, 29, and her friend Marilyn Horton, 22. Horton died of her wounds.
The women were inside their apartment in the 400 block of West 16th Street about 8 p.m. Sept. 29 when the shooting happened, police said.
Crockett and Bishop were arguing when he pulled out a gun and shot the two women, police said. He remains at large and he may be staying in Chicago or in the Urbana-Champaign area, authorities said.
Horton was pronounced dead at St. James Hospital in Chicago Heights, the Cook County Medical Examiner's office said. Neighbors said she was shot in the head.
Police said Crockett's condition was improving but would not say whether she's been released from Advocate Christ Medical Center in Oak Lawn.
The STNG Wire contributed to this report.