The reason? Carragher has admitted his belief that Jurgen Klopp’s side are “not good enough” to secure a top-four finish this season.
The Sky Sports pundit, writing in his latest Daily Mail column, believes Liverpool’s Capital One Cup semi-final first leg against Stoke City later this month is more important for the Merseyside outfit.
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“I don't think Liverpool are good enough to make the Champions League this year and a loss to United could potentially mean they come out of the weekend eight points behind fourth place with five or six clubs ahead of them.” Carragher explained. “They would virtually have no chance of qualifying from that position.
“Yes, Liverpool showed great desire to come back against Arsenal on Wednesday but, as good as that was, you can't forget the way they performed in the 2-0 defeat at West Ham a fortnight ago. There is a reason they are in ninth place.
“But I'm not worried where they finish this season, whether it is fifth or eighth. What I am bothered about are trophies and that's why Stoke City on January 26 is much bigger for Klopp and Liverpool than a visit from Manchester United.”
Carragher should have more faith
But should Carragher really be so dismissive of Liverpool’s top-four hopes?
Victory on Sunday and the Reds would go level on points with sixth-placed Manchester United, who are currently just two points behind fourth-placed Tottenham.
The clubs directly above Liverpool are Crystal Palace, Stoke City, United, West Ham and Spurs, followed by Manchester City, Leicester City and league leaders Arsenal.
Liverpool proved on Wednesday night that they have the quality to match the best in the Premier League this season - and with Klopp in the hot-seat, surely Carragher should believe that a top-four finish is obtainable.
Liverpool fans: do you agree or disagree with Jamie Carragher? Let us know by leaving a comment below.