Violated at the age of 13 by the director who had drugged her, Samantha Geimer has long defended Roman Polanski.
Gordon said he would issue a written ruling on the matter.
On Friday (09Jun17), Geimer attended a hearing into the case, her first public legal appearance, and called on Los Angeles County Superior Court Judge Scott Gordon to "consider taking action which will finally bring this matter to a close".
The most recent attempt to resolve the case ended in April when a Los Angeles judge ruled that the French-Polish director could not cut a deal from overseas to return to the United States without serving more jail time.
The Oscar-winning director has been a fugitive since he fled to France in 1978 just prior to his sentencing for the crime of having sex with a minor.
But in 1978, convinced a judge was going to scrap his plea deal and send him to prison for decades, he fled for France and has been on the run ever since.
Samantha Geimer arrives at the Clara Shortridge Foltz Criminal Justice Center on June 9, 2017 in Los Angeles, California.
Braun told Reuters he hopes the unsealed testimony would reveal the Polanski's plea deal which he wants to use as evidence to European authorities to rescind the global arrest warrant against Polanski.
Furthermore, Debra Tate, the sister of Polanski's wife Sharon Tate, who was murdered in 1969 while heavily pregnant by followers of Charles Manson, is set to appear in court to support the director.
"She wants this case over".
Polanski's attorney, Harland Braun, said the original judge in the case (now deceased) reneged on a deal that promised Polanski a 90-day sentence.
Polanski's lawyers have been trying to end the case and global efforts to arrest him for years. The warrant barred him from accepting the Academy Award for best director for his 2002 film "The Pianist".
Deputy District Attorney Michele Hanisee urged the court in a Thursday filing to reject Polanski's latest efforts, saying two previous judges and an appeals court have ruled against him. Polanski plied the girl with champagne and part of a sedative pill before raping her, according to grand jury transcripts.
This story has been corrected to show that the former prosecutor who handled Polanski's case is retired, not dead.
Polanski admitted statutory rape after the more serious charges that he drugged, raped and sodomised the teen were dropped, and spent 42 days in custody to undergo psychiatric evaluation before being released.
Mr Braun claims the case is no more than a "political circus" and that Polanski has already served his time by spending more than 300 days in jail and house arrest in Switzerland during a failed extradition attempt seven years ago.
She wrote a memoir titled "The Girl: A Life in the Shadow of Roman Polanski" four years ago.