Frankel's younger brother Noble Mission will be considered for all the top mile-and-a-quarter (2000m) races including the Coral-Eclipse.
The five-year-old scored a break-through Group One win in Sunday's Gold Cup at The Curragh after back-to-back Group Three victories at Sandown and at Chester.
Trainer Lady Jane Cecil said Noble Mission was in fine fettle, with the Eclipse on July 5 a possible objective.
"We were all thrilled by Noble Mission's victory in Ireland. It means so much on a number of levels," Lady Cecil said.
"Firstly, I am especially pleased for Prince Khalid (Abdullah), whose decision to keep the horse in training as a five-year-old has been rewarded.
"Noble Mission returned to the stable on Monday evening. He seems to have taken his race very well.
"While we have not decided on his next race, he has certainly earned the right to continue at Group One level. He is already entered in the Eclipse and will be put in other top-class races at a mile and a quarter.
"We wouldn't rule out returning to a mile and a half, either."