The European court of human rights halted extradition proceedings in July 2010, arguing it needed more time to consider complaints that transferring Hamza and others wanted in the US risked breaching their rights by exposing them to possible life imprisonment without parole and solitary confinement.
The Egyptian-born preacher, serving a seven-year sentence in Britain for soliciting to murder and inciting racial hatred, has become the focus of growing concern over human rights rulings from Strasbourg that ministers claim could compromise national security.
Hamza's is one of six extradition cases the court is to rule on, and will be seen as a judgment on whether America's treatment of terrorist suspects could amount to "inhuman or degrading treatment or punishment" in breach of the European convention on human rights.
Hamza, who was granted British citizenship in 1986, is wanted in America on 11 charges related to the taking of 16 hostages in Yemen in 1998, promoting violent jihad in Afghanistan in 2001, and conspiring to set up a jihad training camp in Oregon.
He has been described by the American authorities as a "terrorist facilitator with a global reach".
Before the US extradition request could be dealt with, Hamza was convicted in 2006 of terror-related charges in Britain.
