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Ireland head coach will have to plan with Sean O'Brien, Dave Kearney and Mike McCarthy for the remainder of the RBS Six Nations campaign.
The trio had already been ruled out of next weekend's game against England but it has since been confirmed that they will miss the remainder of the tournament with McCarthy unlikely to play again this season.
O'Brien suffered a grade two hamstring tear in the first half of the defeat to France, while Kearney forced off with a shoulder injury in the same game.
"Sean is likely to miss the rest of the Six Nations as is Dave Kearney but we’ll continue to monitor them,” Schmidt stated.
McCarthy was stretchered off in a neck brace in a sickening clash of heads with Jack McGrath and saw a specialist this week to determine how to proceed with his recovery.
While a final decision has yet to be made, Schmidt believes the Leinster lock will not play again until next season.
"(McCarthy) has seen a specialist now and he is going to effectively recondition himself, freshen himself up and to kick-start next season now,” Schmidt explained.
"That’s the latest word, maybe not the definitive word, but I think for him it’s an opportunity to freshen himself up a bit and that will give him a good entry point to next season."