In the court filings, the organisations said that there was "no adequate justification" for the FBI to continue to withhold the information.
They added that they did not seek information that would jeopardise national security.
The groups sued the FBI last year.
Associated Press, Vice Media and Gannett, the parent company of USA Today, are seeking to learn more about the circumstances surrounding the event.
The FBI has never named the security firm or group of hackers who helped unlock the phone, which was used by killer Syed Rizwan Farook.