Last year's champion juvenile was forced to miss the Newmarket equivalent after a setback early in the spring, but made his reappearance at York last week.
Stepping up in trip to 10 furlongs in the Dante Stakes, John Gosden's colt just failed to reel in Telecaster and while the Derby was ruled out, the St James's Palace Stakes was nominated as his next target.
However, Gosden has now decided to leave Too Darn Hot in the Irish Classic and will make a final decision later in the week.
Simon Marsh, racing manager to his owner Lord Lloyd-Webber, said: "He's come out of the race very well and is absolutely fine.
"John just felt we'd keep him in at this stage and then make a decision later in the week as to whether or not he's actually going to run.
"I think York was a case of stamina - the way the race was run and I think at this stage in his career, he's obviously going to be better over a mile.
"But I have no doubt that later on he will stay a mile and a quarter. Frankie (Dettori) was at pains to stress how keen and fresh he was.
"When he settles and has a few more races under his belt, ultimately he'll be fine over a mile and a quarter."
Sixteen left in Classic
Too Darn Hot is among 16 left in contention for the Classic, with Aidan O'Brien having five possibles.
Those include the Newmarket winner Magna Grecia and Old Glory, a 1.6 million euro Frankel colt.
Paddy Twomey's Decrpyt and Dermot Weld's unbeaten Shelir add strength to the home defence.
William Haggas' Craven winner Skardu, Charlie Hill's Phoenix Of Spain, who was not beaten far by Magna Grecia as a juvenile, Kevin Ryan's Emaraaty Ana and the Martyn Meade-trained Confiding are all in the mix.
