The state Department of Corrections set the execution for Friday at 7 p.m., The Atlanta Journal-Constitution reported Wednesday. He had been scheduled to die Monday.
Hill's lawyers say he is mentally disabled and thus not eligible for execution under a Supreme Court decision that bans the death penalty for those with IQ's under 70. His execution was delayed until after a hearing scheduled for Thursday on the drugs to be used.
The state turned to a pharmacy to compound a drug specifically for the execution because pharmaceutical companies have become unwilling to supply lethal injection drugs. Hill's lawyers say he has a right to know the name of the pharmacy.
Hill was sentenced to life for killing his 18-year-old girlfriend. In 1990, he fatally battered Joseph Handspike.
The current execution warrant expires at noon Saturday.