Mohamed Alessa of North Bergen and Carlos Almonte of Elmwood Park pleaded guilty in March 2011 to conspiring within the United States to murder individuals outside the U.S. by trying to join a designated terrorist organization.
They could face up to life in prison. A prior sentencing date was postponed, and a new sentencing date has not been set.
A status hearing in the case is scheduled for Monday in federal court in Newark.
The men were arrested in June 2010 at New York's Kennedy Airport as they prepared to board separate planes to Egypt.