Fame And Glory could clash with stablemate Cape Blanco in the Tattersalls Millions Irish Champion Stakes at Leopardstown on September 4.
The pair have won the last two renewals of the Irish Derby but trainer Aidan O'Brien would not be averse to seeing them take each other on.
Fame And Glory has already won the Tattersalls Gold Cup and the Coronation Cup this season and returned from a mid-season break with a comfortable win at Group Two level. His main aim this season is the Prix de l'Arc de Triomphe.
"The plan is to take it one race at a time. He's had a break in the summer and has come out of it very well," said O'Brien.
"His next race will either be the Irish Champion or the Arc Trial at Longchamp. At the moment we're looking at the Irish Champion. We'd have more time to prepare him for the Arc if he runs in the Irish Champion.
"We had a few pacemakers in the Arc last year and I think they got a little bit disengaged from the field. The race didn't work out well for him (he finished sixth). Our experience of those real good mile and a half horses is they have plenty of class for 10 furlongs."
Cape Blanco was last seen finishing a distant second in the King George behind Harbinger.
"We were delighted with his run in the King George. It was a tough race. He went stride for stride with Workforce behind the pacemaker but Oliver (Peslier) gave the winner a beautiful ride, he let the others do all the work," O'Brien told At The Races.
"We were watching Workforce and he was watching us and I think that set it up for Harbinger, but that is taking nothing away from the winner, it was a brilliant performance. It is possible that it will be the Irish Champion for him as well, that's what we are looking at.
"Fame And Glory has a year on him and has had a mid-summer break while Cape Blanco has been very busy and is only three. I suppose it won't be an easy decision for Johnny (Murtagh)."