Rogan, 42, is currently planning his comeback following defeats to Fury and Audley Harrison over the past fourteen months.
He hopes to be in the mix with the likes of Sam Sexton and Dereck Chisora before too long.
The Belfast fighter, who was dropped and stopped in five rounds by 24-year-old Fury in April 2012, has backed two-weight world title-holder Haye, 32, to do a number on the 6ft 9ins bruiser.
His prediction comes as rumors of a multi-million pound September showdown persist.
“I think Haye will destroy him. David will not be scared of Tyson. If I were Tyson, I would be wary of Haye,” Rogan told the Belfast Newsletter.
“Haye is a great fighter. He’s dedicated, and he can bang. Haye, Fury, and Wladimir Klitschko all have fought (Dereck) Chisora.
Haye put him to sleep while Fury and Wladimir could not stop Chisora.
“Haye and his coach Adam Booth just get on with their business, and they will have a game plan for Tyson,” he added.
On his own return this year, Rogan stated: “I want to face Sam Sexton again. I want to fight Dereck Chisora, and I want to knock-out, Darren Corbett.
“Those are the guys I want to take care of first, and then we will see what is next?”