Monterosso could be supplemented for Sunday's Dubai Duty Free Irish Derby at the Curragh.
Mark Johnston will hold talks with representatives for the colt's owner, Sheikh Hamdan Bin Mohammed Al Maktoum, to discuss whether to fork out the 150,000 euros which would guarantee his participation.
The three-year-old son of Dubawi made a seamless transition to Group Two company when winning the King Edward VII Stakes at Royal Ascot on Friday.
Johnston said: ‘It is very much up to the owner, but we supplemented him for the King Edward VII and, if we think he could win the Irish Derby, we would do it again.
‘Michael Stoute has said that Ireland comes too soon for Workforce after Epsom and Monterosso only ran last week.
‘That would be the question. It would be very quick to be running in a Classic, but he seems to have taken the Ascot race in his stride.’
Also in contention for the Irish Classic is Chabal, a bitter disappointment when last seen in the Dante at York.
Godolphin racing manager Simon Crisford told the Daily Mail: ‘Chabal worked well on Friday.
‘He will be left in the race and we will take a look at the ground, weather and make-up of the race.’
