Prosecutors wanted a delay so they could investigate a claim by another man that he killed the teenager.
Judge Hans Liljeberg ruled Monday that prosecutors have less than two weeks to investigate allegations raised by Miller's attorney that Juan Flowers killed Steve Thomas on Jan. 12, 2002. Flowers is serving a life sentence in a Georgia prison for another killing.
Jury selection is scheduled to begin Aug. 3 in Miller's case.
The 38-year-old Miller is charged with second-degree murder and faces a mandatory life sentence if convicted of killing Thomas.
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