Montjeu may yet make a final appearance before he is retired to stud at the end of the season.
Giant`s Causeway`s participation in next Saturday`s Dubai Champion Stakes hinges upon whether Montjeu, also owned by the Coolmore partnership, is given the green light to run in the Group One contest.
Trainer Aidan O`Brien said: 'He`s working away towards the Champion Stakes but a final decision won`t be made until the middle of the week.'
Giant`s Causeway finished second to Observatory in the Queen Elizabeth II Stakes at Ascot last month when attempting to win his sixth consecutive Group One contest.
Montjeu is set to return to work again shortly following his below-par fourth in the Prix de l`Arc de Triomphe at Longhchamp last Sunday.
John Warren, who manages the racing interests of Tsega Ltd, part-owners of the colt, told the Racing Post: 'John Hammond hates making excuses but it is certainly worth watching a video of the race again. Montjeu had a bad draw, went in last and was then caught unusually flat-footed as the stalls opened.
'By missing the break, he had to work on the collar and slipped on the bend. Whether he tweaked a little muscle or something, I don`t know, but his action was not good in the straight and he was stiff during the week.
'It`s not the end of the world. We know he can run significantly better than that and I rate him one of the most brilliant horses I`ve seen.
'John Hammond will take a view on the future once the horse has had a chance to recover.'
Connections have a possible alternative contest for Montjeu in the shape of the Canadian International at Woodbine a week tomorrow, for which Murghem, Fruits of Love, Daliapour and Mutafaweq have all been touted as possible British-trained representatives in the race.
