"Abu Qatada's wife and five children want to leave Britain and come to Jordan. They are currently preparing for that," the family friend told AFP, asking not to be named.
Military prosecutors on Sunday charged Abu Qatada, 53, with "conspiracy to carry out terrorist acts," just hours after his deportation from Britain. He pleaded not guilty to the charges.
His lawyer Taysir Diab told AFP the military state security court would tomorrow make its decision on a bail application.
Abu Qatada has been remanded for 15 days in the Muwaqqar prison, a maximum security facility built in 2007 that houses 1,100 inmates, most of them Islamists convicted of terrorism offences.
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He was condemned to death in absentia in 1999 for conspiracy to carry out terror attacks, including on the American school in Amman, but the sentence was immediately commuted to life imprisonment with hard labour.
In 2000, he was sentenced in his absence to 15 years for plotting to carry out terror attacks on tourists in Jordan during millennium celebrations.
Britain's expulsion of the Palestinian-born preacher came after Amman and London last month ratified a treaty, guaranteeing that evidence obtained by torture would not be used in his retrial, ending a decade-long legal battle after
He was born Omar Mahmud Mohammed Otman in Bethlehem in the now Israeli-occupied West Bank, which was part of Jordan at the time of his birth.