"In support of those efforts, today the Department of Defence certified to Congress its intent to repatriate an additional two detainees to Algeria. We are taking this step in consultation with the Congress, and in a responsible manner that protects our national security," the White House Press Secretary, Jay Carney said.
The move signalled a new push to reduce the number of detainees, currently at 166, at the prison where dozens are on a hunger strike to draw attention to their indefinite detention.
"We continue to call on Congress to join us in supporting these efforts by lifting the current restrictions that significantly limit our ability to transfer detainees out of Guantanamo, even those who have been approved for transfer," Carney said.
Senator Dianne Feinstein, chairman of the Senate Intelligence Committee, applauded the announcement and called on the Obama administration to work to transfer out the 84 other detainees who have been cleared.
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"These transfers have been impeded by congressional action, and I strongly support the provisions in this year's defence authorisation bill, as approved by the Senate Armed Services Committee, that will provide more flexibility to the commander-in-chief," she added.
However, Senator Saxby Chambliss, vice chairman of the Senate Select Committee on Intelligence and member of the Senate Armed Services Committee, alleged that people across America are very concerned that the Obama administration still has no plan for these "hard-core terrorists" if efforts to close Guantanamo are successful.
Seven Algerian detainees remain at Guantanamo, including five who have been cleared for transfer.
In 2010, six Algerian detainees resisted efforts to be repatriated, saying they'd rather stay at the prison camp than return to their home country.
The most prominent case was that of Aziz Abdul Naji, who argued all the way to the Supreme Court that he might face torture in Algeria. The Supreme Court rejected his plea, and he was transferred in 2010, indicted and placed under judicial supervision.