"We only have 15 minutes to make our arguments. It really is daunting," Yale Galanter said Thursday. "But what the public doesn't know is that there are hundreds of pages of briefs that have already been filed."

Simpson and convicted co-defendant Clarence "C.J." Stewart won't be in court when their lawyers tell a trio of justices that Simpson's fame — and his acquittal in the 1994 slayings of his ex-wife, Nicole Brown Simpson, and her friend Ron Goldman in Los Angeles — tilted the Las Vegas proceedings in favor of the prosecution.

Simpson, who turns 63 next month, has been working as a gymnasium janitor while serving nine to 33 years at a state prison in the northern Nevada town of Lovelock.

Stewart, 56, heads a music program while serving 7 1/2 to 27 years at High Desert State Prison, 45 miles northwest of Las Vegas.