Al Wukair is likely to have his next race in the Prix du Jockey Club at Chantilly on June 4.
The Andre Fabre-trained colt finished fast and late to take third behind Churchill and Barney Roy in the Qipco 2000 Guineas on Saturday.
"After the race Andre mentioned the French Derby and that would look the obvious place to go with him," said Harry Herbert, racing manager to owners Al Shaqab Racing.
"I think that should suit - just looking at his stride and his running style you'd think 10 furlongs would be no problem and he might even be better.
"He ran a very good race, it was always going to be hard having to come wide and from behind, but on reflection the winner won well.
"When I watched the race again he was even more impressive than when I watched it live, Ryan (Moore) always had him (Churchill) in the right place.
"There are plenty of exciting races to look forward to with Al Wukair, but it does look a very good crop of three-year-olds."
