Integral could have her next start in the Coolmore Mastercraftsman Matron Stakes at Leopardstown on September 12.
The five-year-old mare, trained by Sir Michael Stoute, holds entries in the Sussex Stakes and Nassau Stakes at Goodwood next week, but she is likely to be kept fresh for a trip to Ireland.
Having being sent off the odds-on favourite to win back-to-back renewals of the Duke Of Cambridge Stakes at Royal Ascot, the daughter of Dalakhani was one of the first beaten, trailing home in fifth in the Group Two event.
Chris Richardson, racing manager for owners Cheveley Park Stud, said: "We are just waiting for the right ground for Integral as we won't be running her on fast ground.
"The Matron Stakes would be a fairly strong possibility as we are more likely to get the ground she wants in Ireland.
"Then there is the Sun Chariot Stakes at Newmarket - those would be the two major possibilities.
"She was fine after her run at Ascot and the reason she didn't run at Newmarket was simply because the ground was too quick."
