Alexander-Arnold, ahead of Sunday's clash, said winning trophies means more to Liverpool than City.
"I'm not even getting involved in that," Walker said, before adding, "It's been floating around the changing room today.
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"I've never won there. Never won there with no team.
"They've had some good players haven't they and I think the fans are incredible.
"It's one thing I do say the fans are really, really good. I've just never, never won."