The Greenville News reported that Judge Edward Miller denied the motion by Jerry Buck Inman's attorneys during a hearing in Pickens County on Thursday.
Inman is charged with kidnapping, rape and murder in the death of Tiffany Marie Souers.
Souers was found in her off-campus apartment in May 2006. Police said a bikini top used to choke her was still around her neck.
Prosecutors are seeking the death penalty. In September, a judge rejected Inman's request to plead guilty but still have his sentence decided by a jury.