Trainer Saeed bin Suroor is eyeing the Group Two over seven furlongs for the three-year-old, who also has the option of the Queen Elizabeth II Stakes at Ascot on Champions Day eight days later.
Winner of the Prix Jean Prat this summer, Thunder Snow won the UAE 2000 Guineas and Derby at Meydan earlier in the year and was third to Al Wukair in the Prix Jacques le Marois at Deauville on his latest start.
"The horse is doing well but I think more next year he is going to be a better horse physically," Bin Suroor told At The Races.
"The target we have for him is the Challenge Stakes in October or we could take him to the QEII. That's another option for him.
"He had an easy time after his last run. We will have one race, then give him a break before we take him back to Dubai."