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Alexander-Arnold is set to be unveiled by the Spanish giants after his £10m move from Liverpool ahead of the Club World Cup.
But the Real Madrid right back had a frustrating time on international duty which must raise question marks over whether another England manager really fancies him.
If he steps up to his highest level he will always be in contention for nomination.”
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Meanwhile, Alexander-Arnold’s new club team-mate Jude Bellingham is set to miss England’s next two World Cup qualifiers.
Tuchel admitted that he fully expects Bellingham to undergo shoulder surgery after the Club World Cup.
Real Madrid star Bellingham has been playing with heavy strapping on the injury for the past year and will go under the knife this summer.
That means he is set to miss the qualifiers with Andorra at Wembley and a trip to Serbia but Tuchel insists the other players will need to step up and prove they can cope without him.
Alexander-Arnold will join up with Real Madrid for the Club World Cup later this month(Image: Liverpool FC/Liverpool FC via Getty Images)
Tuchel said: “It can be an issue.
It worked brilliantly for Jude Bellingham as the England star became one of the best midfielders in the world and is now a superstar with Real Madrid.
Jobe Bellingham could join his brother in the World Cup squad after completing a move to Borussia Dortmund
Jobe has already represented England at under-21 level, helped Sunderland to gain promotion to the Premier League and his £32m fee was more than Dortmund paid for Jude.
Tuchel revealed they will now monitor Jobe’s progress carefully and both brothers could go to next summer’s World Cup.
When asked whether there was a chance of a call-up and Dortmund being a good platform, Tuchel said: “It works well in his family.” And Tuchel admitted he could be one they look at before adding: “Of course.