The Chicago Tribune has asked for documents concerning Blagojevich co-defendant William Cellini. CNN, ABC and Chicago's WLS-TV have asked the court to unseal the wiretap tapes.
Zagel says he'll be guided by precedents, which in the past have sometimes included making public redacted versions of documents.
Federal prosecutors accuse Blagojevich of scheming to sell or trade President Barack Obama's former U.S. Senate seat and of using the political muscle of the governor's office to squeeze people and businesses for campaign donations.
Blagojevich has denied any wrongdoing.