Reds right-back Alexander-Arnold put in one of his best performances this season in the 4-2 win over Manchester United on Thursday night.
The England international was awarded man of the match, despite Roberto Firmino scoring a brace, as his impact on the game was unrivalled.
Alexander-Arnold had more passes into the opposition box, touches and chances created than any other player on the pitch.
And having suggested just weeks ago that he is firmly of the belief that Alexander-Arnold should be playing in midfield, Match of the Day presenter and ex-England striker Lineker reaffirmed his claims that his passing ability makes him the ideal midfielder.
“2 wonder balls from @TrentAA already in this game,” Lineker wrote on Twitter.
“I’d love to see him play in midfield. His passing range is off the chart. Too good to be a fullback.
While discussing his best position last month, Lineker suggested he follow in the footsteps of German duo Phillip Lahm and Joshua Kimmich in making the move to defensive-midfield as his career progresses.
“I’ve said for years I see him as a midfielder,” he said on BT Sport.
“He used to be a midfielder who was kind of thrust into playing at right-back and has stuck there.
“You can see him being a Lahm, a Kimmich, even like [Joao] Cancelo plays at Manchester City. He’s got that within him, hasn’t he?”
Klopp hailed Alexander-Arnold’s performance after the game as he picked up his first win at Old Trafford since taking charge at Liverpool six years ago.
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“Great fight, good game, intense – all derbies should be – and my first win at Old Trafford,” he said to Sky Sports after a huge win in the race for the top four.
“Good timing I would say. We needed it. We deserved it. All good.
“It was good. All good performances. Our two centre-halves were a little shaky at the beginning of the game with passes but then did a really good game.
“Trent was in proper shape tonight and played pretty much everything.”