Trainer Richard Spencer was forced to abandon plans of a trip to France when the son of Choisir scoped dirty.
However, there is still a chance he could head north for a crack at the Al Basti Equiworld Gimcrack Stakes on Saturday week.
"He's not going to run this weekend unfortunately," Spencer said.
"He scoped dirty this week so it's not worth the risk.
"He is in at York which wouldn't be out of the equation if he scopes clean next week.
"We've also put him in races like the Mill Reef (Newbury) and Champagne at Doncaster."
As the Gimcrack is a Group Two, Rajasinghe would have to carry a penalty for his Royal Ascot win, as he did when third in the July Stakes at Newmarket.
There should still be British representation as Karl Burke intends to run Unfortunately, winner of the Prix Robert Papin, and Molecomb hero Havana Grey.
Fifteen horses have been left in at the latest entry stage, with Charles Hills' Nebo and Mark Johnston's filly Nyaleti other possibles.
Aidan O'Brien can choose from US Navy Flag, Sioux Nation, Declarationofpeace, Actress and September.
Leading the home hopes are Royal Ascot winner Different League and Freddy Head's Tantheem.