Lieutenant General Stephen Townsend said he had heard "all kinds of reporting" about Baghdadi's status.
"I don't have a clue," Townsend said in a video call from Baghdad.
"Hope he's deader than a doornail. And if he's not, as soon as we find out where he is he will be.
The Syrian Observatory for Human Rights, a longtime monitor of the country's conflict, said earlier Tuesday it had information from top IS leaders confirming Baghdadi's death.
The report could not be independently verified and Baghdadi has been reported dead several times.
But if confirmed, his death would mark another devastating blow to the jihadist group after its loss of Mosul, which Iraqi Prime Minister Haider al-Abadi said Monday had been retaken from IS after a gruelling months-long campaign.
Eyewitness? Submit your stories now via social or:
Email: news@pulselive.co.ke
