Toronado could go for the Breeders' Cup Mile after missing the Queen Elizabeth II Stakes at Ascot because of soft ground.
While stablemate Olympic Glory, who lifted Saturday's Group One for the Richard Hannon stable, is a possible for Santa Anita on 2 November, Toronado is also under consideration, with both horses owned by Sheikh Joaan AL Thani.
"He might go for the Breeders' Cup Mile on turf," the trainer's son and assistant, Richard Hannon junior, told At The Races.
"It's been a long season but he's had plenty of gaps between his races. He's had a nice break since York in August so he's had a good couple of months.
"Basically he won his trial very easily then went to the Guineas, then the St James's Palace and won the Sussex.
"He's had four or five runs, but he's not been that busy. For a good horse they don't need that many runs.
"I'd say he's well able to do himself justice in America, hopefully, if he copes with the turns. That's the risk you take."