On Dec. 3, Willie Jerome Manning asked U.S. Supreme Court to listen to his arguments for a new trial. The court gave Attorney General Jim Hood until Jan. 10 to respond to Manning's request.
Manning has argued that defense attorney should have done a better job and that black residents were inappropriately excluded from his Oktibbeha County jury. Manning is African-American.
The 5th U.S. Circuit Court of Appeals turned Manning down in July. The court said Manning filed his post-conviction claim too late to be heard in state courts.
Hood has said he will ask to have an execution date set if the U.S. Supreme Court denies the request.
Manning, now 44, received two death sentences for the 1992 slayings of two Mississippi State University students, Jon Steckler and Tiffany Miller.
On Dec. 11, 1992, the bodies of Miller and Steckler were discovered in rural Oktibbeha County. Both students had been shot to death, and Miller's car was missing. The vehicle was found the next morning.
Prosecutors said Manning was arrested after he attempted to sell certain items belonging to the victims.