Bin Laden hunter says he wanted to capture Osama bin Laden alive and bring him to justice.
He alluded to being helped in his search by the Pakistani government.
Faulkner told officials he was out to kill the al-Qaida leader.
But on Monday, the 50-year-old Faulkner said he wanted to return to the United States with bin Laden in tow and alive.
Faulkner has said the Pakistanis treated him well and administered dialysis to treat his kidney disease.