He remains behind bars despite a ruling by a state innocence commission in September that stated he is not guilty of murder.
Taylor has spent 16 years in prison for the stabbing and beating death of 26-year-old Jacquetta Thomas.
However another inmate, Craig Taylor, has confessed to the crime.
The commission found that confession plus other information is enough evidence for a review of the case.
But, Wake County DA Colon Willoughby says he's skeptical of the confession partly, because Craig Taylor has confessed to dozens of other crimes.
It was Willoughby's office that convicted Greg Taylor of the 1991 murder.
Greg Taylor admitted he was smoking crack on a dirt path in southeast Raleigh when he and friend drove by Thomas' body.
He said he decided not to report it. But when his SUV got stuck, he abandoned it and that made him the leading suspect.