Prime Minister David Cameron said he will be "one of the happiest people in Britain" if Abu Qatada returns to Jordan of his own accord.
The Home Office has said that Theresa May's priority remains on seeing Abu Qatada returned to Jordan "at the earliest opportunity".
James Brokenshire: The Home Secretary's focus remains on seeing Abu Qatada returned to Jordan at the earliest opportunity.
Home Secretary Theresa May last month signed a new treaty between the UK and Jordan, guaranteeing that torture evidence would not be used against Abu Qatada if he was returned to the Middle Eastern Country.
At the time of the signing, May said: "I believe that the treaty we have agreed with Jordan, once ratified by both parliaments, will finally make possible the deportation of Abu Qatada.
"I believe these guarantees will provide the courts with the assurance that [Abu] Qatada will not face evidence that might have been obtained by torture in a retrial in Jordan".
A bail application made by Abu Qatada has been adjourned until 20th May, the Special Immigration Appeals Commission has decided.
Abu Qatada will voluntarily return to Jordan if a new treaty on the use of evidence obtained by torture is ratified by the Jordanian parliament, a tribunal was told today.
The radical cleric's cooperation was announced by his barrister, Edward Fitzgerald QC, at the beginning of an immigration hearing to decide whether Qatada can be released from prison.
The Government has been trying to deport Qatada, also known as Omar Othman, to Jordan, where he was convicted of terror charges in his absence in 1999, for nearly eight years.
Fitzgerald told the Special Immigration Appeals Commission (Siac) hearing: "If, and when, the Jordanian parliament ratifies the treaty, Mr Othman will voluntarily return to Jordan."
Radical cleric Abu Qatada will voluntarily return to Jordan if a new treaty on the use of evidence obtained by torture is ratified by the Jordanian parliament, his barrister Edward Fitzgerald QC told an immigration tribunal hearing in London today.