The U.S. Embassy in Baghdad declined to comment Thursday and referred questions about the case to Washington.

In an AP interview last month, the national security adviser to Vice President Joe Biden said the White House also has asked Iraq's highest appeals court to review and overturn its June 25 order to free Daqduq. It was not immediately clear Thursday whether that review was continuing.

Daqduq's lawyer, Abdul-Mahdi al-Mitairi, said the militant is still being held under house arrest in Baghdad's heavily fortified Green Zone. But he said he will push to have Daqduq released before the end of Ramadan, the ongoing holy Muslim month that ends later in August.

Washington believes the Lebanese-born Daqduq worked with Iranian agents to train Shiite militias to target the U.S. military during the years of sectarian violence that gripped Iraq over the last decade. His case has illustrated the tricky aftermath of the long U.S. military campaign in Iraq that ended last year and has elements of both Iraqi and U.S. internal politics.