Scotland's top law officer is seeking the change after two sexual offence trials last year ended in acquittals.
The ruling which dates back to 1937 limits what can be done with statements made by an alleged victim shortly after an alleged crime.
The Lord Advocate Dorothy Bain KC is asking for that to be overturned.
She wants the judges to agree that such statements can used as a separate source of evidence that a crime had taken place and the person accused of committing it was responsible.
The issue at the heart of it all is corroboration, a unique cornerstone of Scotland's criminal law for decades.
The requirement for corroboration means there has to be evidence from at least two sources to prove the essential facts of a case.
When the alleged offence is rape, prosecutors need corroborated evidence that the accused was the perpetrator, that the physical act took place and there was no consent.
More detail at https://www.bbc.co.uk/news/articles/c977d35l7mjo