The 71-year-old grandmother served 13 years behind bars for killing partner Bob Chappell on the couple's yacht moored in Hobart on Australia Day 2009.
She was released on parole in 2022 and recently launched legal action against a condition preventing her from communicating directly or indirectly to media to "claim her alleged innocence".
The condition was in place to protect Mr Chappell's family and friends from further trauma and distress, the parole board said.
Neill-Fraser's lawyer Hannah Canham told the Supreme Court of Tasmania she was seeking documents that were before the parole board at the time of its decision.
"We sought voluntary production and (this) ordinarily should be provided," Ms Canham said on Wednesday.
Lawyer representing the Parole Board of Tasmania, Simon Gates, said he was unable to see how the documents sought were relevant to the grounds of the legal challenge.
Neill-Fraser's lawyers had applied for a wide range of information, including text messages, Mr Gates said.
Acting Justice Michael Daly told the court it would be unusual if the legal challenge proceeded without the documents being before the judge.
He ordered both parties to make submissions on the matter by mid-November. A date for the substantive hearing has not yet been set.
Among several grounds, Neill-Fraser argues the parole conditions are not compatible with freedom of political communication implied by the constitution.
Speaking outside court in September, head of Neill-Fraser's supporter group, Rosie Crumpton-Crook, said the convicted murderer had "basically been gagged".
"Obviously she gets frustrated," Ms Crumpton-Crook said.
"The whole legal process with Sue's case has taken years and years. It seems everything takes a long time."
Neill-Fraser was sentenced to 23 years' jail, with the 2010 sentencing judge saying he was convinced beyond reasonable doubt she attacked Mr Chappell on their yacht.
Neill-Fraser has maintained her innocence, with her daughter Sarah Bowles and prominent politicians including Andrew Wilkie pushing for an independent inquiry into the case.
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