A request filed last week by Arias' attorneys said Twitter user names were needed so jurors' interactions with others on the social media site could be monitored during the trial.
Attorney Kirk Nurmi cited an exchange a backup juror had on Twitter during Arias' original trial and the ability of other users of the social media site to send messages directly to jurors that might influence their decision.
That request is expected to be heard on Sept. 16.
Arias was convicted of first-degree murder on May 8 in the 2008 death of boyfriend Travis Alexander in his Mesa home. The same jury failed to reach a decision on whether she should get the death penalty, setting the stage for a second penalty phase.