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Van Dijk recently ended speculation about his own future by signing a new contract, does not know whether Alexander-Arnold will follow suit.
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"Whatever may happen in the future for him, that's something that he has to resolve with himself and the family," he said.
"And there's still games to go, and we need to have the best Trent Alexander-Arnold, and what will happen in the future will happen, that's life and football, and we'll see."
Alexander-Arnold's goal meant Liverpool will get their hands on a 20th top-flight title and a second in the Premier League era if Arsenal fail to beat Crystal Palace in midweek.
"But if it doesn't happen, then I think it will be nice to be together.
"I would love to lift the cup for this club that I love so much, if it doesn't happen on Wednesday, then we have an opportunity on Sunday to do it in front of our own fans, in front of a red Anfield and it will be special, that's for sure."
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