Appeals lawyer Patricia Palm filed an appeal this week asking the high court to overrule a state court judge's decision earlier this month in Las Vegas.
That judge ruled Clark County District Attorney Steve Wolfson wouldn't benefit from the outcome of a claim that Simpson's lawyers did a bad job at trial in 2008.
Palm argues that because Wolfson is married to the judge who handled Simpson's trial, Wolfson has a financial and emotional interest in the outcome.
Wolfson was named DA this year.
His wife, former Judge Jackie Glass, resigned after the Simpson trial to star in a syndicated court TV show.