The move is an attempt to free Army Sergeant Bowe Bergdahl before the majority of US forces leave Afghanistan by the end of 2014, The Washington Post reported yesterday, citing current and former officials.
The swap would trade Bergdahl for five Taliban members who would be released from Guantanamo Bay into protective custody in Qatar, the Post reported.
State Department spokeswoman Jen Psaki told AFP that she could not discuss details of US efforts but that "there should be no doubt that we work every day -- using our military, intelligence and diplomatic tools -- to try to see Sergeant Bergdahl returned home safely."
The US Army sergeant is the only American soldier held captive by Taliban militants.
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In January the United States obtained a "proof of life" video of Bergdahl -- the first providing evidence he was still alive in more than three years.
Bergdahl disappeared in June 2009 from a base in Afghanistan's eastern Paktika province, with the Taliban later saying they had captured him.
US officials had previously considered a possible swap in which Bergdahl would be let go in exchange for the release of Taliban members held at Guantanamo Bay, but the deal was never clinched.
The deal to allow the residual US force, however, has been the subject of months of bitter public wrangling between President Hamid Karzai and US officials.