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All Black Carter limped off during the Top 14 win over Bourgoin last weekend and scans have revealed the star fly-half will miss the Pool 3 tie.
Perpignan doctor Carlos Vela said: “Dan has a mild inflammation in his Achilles tendon and will be rested against the Ospreys. We don’t want to make it a long-term problem.”
Carter made an immediate mark in Europe with a man-of-the-match performance against Leicester Tigers last month and has helped the French giants soar to third in the championship.