Separately on Saturday, Assange and Jonsdottir criticized the DOJ, saying the agency shouldn't be forcing Twitter to turn over information.

Speaking to Agence France Presse (AFP), Jonsdottir said Iceland's justice minister is looking into the issue at her request. "I am speaking to U.S. lawyers ... because I want to try to stop that Twitter needs to hand over this information," she told AFP.

Neither the DOJ nor Twitter responded to requests for comment.