Britain first made legal moves to extradite the cleric to Yemen in 2003, but his lawyers appealed against the move. He was arrested on the U.S. warrant in 2004, but lost several British court cases in his fight against extradition before taking the case to the European court in 2008.
He is currently serving a seven-year prison term in Britain for separate charges of inciting hatred.
The other four suspects due to be extradited to the U.S. are Babar Ahmad, Syed Tahla Ahsan, Khaled al-Fawwaz and Adel Abdul Bary.
The cleric had appealed on the grounds that that too much time had passed since the alleged offenses to guarantee a fair trial; that some evidence could have been obtained by torture; and that he might be tortured or mistreated in the United States.
The European Court of Human Rights judges ruled that none of the material relied on by U.S. authorities "carries anything of the smell of the torture chamber sufficient to require its exclusion in a trial in this country."
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