Safia bin Laden, one of the terrorist leader's daughters, allegedly told Pakistani interrogators that a special team of U.S. military personnel captured her father alive.
She added that he was initially taken alive but executed at point-blank range on the ground floor of his compound, London's pan-Arab daily Asharq al-Awsat reports.
U.S. President Barack Obama announced that bin Laden was killed early Monday during a firefight at a fortified compound near one of Pakistan's elite military academies.
The narrative of the assault has evolved, however, and conspiracy theories are developing as the Obama administration refuses to release photographic evidence that bin Laden is dead.
The narrative provided by the White House says bin Laden was killed apparently on the second or third floor of the compound. He wasn't armed at the time.
White House spokesman Jay Carney offered a careful account of the weekend events at the bin Laden compound but warned the details were highly secretive.
"We've made a great deal available to the public in remarkable time," he said. "We're talking about the most highly classified operation that this government has undertaken in many, many years."