The former Manchester United defender wrote on his Times column last week that Klopp should prioritise the Premier League ahead of the other club competitions.
However, the Liverpool FC manager was dismissive of Neville’s suggestions during his pre-match media confefence ahead of Saturday’s 2-1 win over Tottenham Hotspur at Wembley.
The Merseyside outfit are in second place in the Premier League table and level on points with current leaders Chelsea FC after five successive top-flight victories.
Liverpool FC will welcome Ligue 1 title holders Paris Saint-Germain in their opening Champions League group-stage fixture at Anfield as Klopp’s men look to reach successive finals.
Former Manchester United defender Neville attempted to go into greater depth about why Liverpool FC should focus their efforts on the Premier League title race.
“The point I was making earlier on in the week I thought was a positive really, in the sense that probably in this time of the season over the last 28 years, I never felt that Liverpool had a strong chance of winning the league title,” Neville told Sky Sports.
“I do not think they have great depth behind that front three and the drop in quality behind that front three is big.
“My view is if they were to go on a long Champions League, League Cup or FA Cup run, that would put that Premier League title at risk because I’m not sure that front three would be able to play Wednesday, Saturday, Wednesday, Saturday, week in, week out.
“Liverpool, obviously, have a great history with the Champions League and with the European Cup. But make no mistake about it, Liverpool FC need to win a Premier League title. And that would be a game changer for them.”
Liverpool FC finished in fourth spot in the Premier League table last term to ensure their continued participation in the Champions League.
The Reds signed AS Monaco midfielder Fabinho, RB Leipzig star Naby Keita, Stoke City playmaker Xherdan Shaqiri and AS Roma goalkeeper Alisson Becker in the summer transfer window.
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