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After winning the Premier League, the Reds are heavily backing Slot in the transfer window.
They have already snapped up Jeremie Frimpong and are still chasing down lucrative deals for Florian Wirtz and Milos Kerkez from Bayer Leverkusen and Bournemouth.
If Slot decided he wanted to keep players like the aforementioned duo, then Carragher does not believe the ex-Feyenoord manager would be able to stop them, if the club decided they had to go to raise money.
On 'The Overlap', Carragher painted a picture of the behind-the-scenes dynamics, saying: "We know a little bit of what's gone on behind the scenes.
I think players who have been legends for the club and won the biggest trophies, were given contracts and were allowed to stay at Liverpool longer, too long basically.
"That's why Liverpool fell off for a little bit and then came back.
I think the way they want to run Liverpool is that they are not going to sell their absolute best players.
"But a Diaz or a Gakpo, who are good players, they wouldn't want to sell them, but if someone made them an offer, that they think 'That's more than what we think (they are worth)' I think that's the way it will be run now, it will be like 'Oh no, he's gone and we back ourselves to go again'.
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I think the club will be like that now."
Carragher's comments come as Liverpool are reportedly eyeing a record-breaking transfer deal for Wirtz, with a £109million offer already rejected by Leverkusen.
The Bundesliga club, who are now managed by ex-Manchester United manager Erik ten Hag, are understood to be demanding £125m to part with the German international.
If Liverpool meet that fee, it would not only shatter the club's transfer record, it would also break the Premier League record, which is currently held by Chelsea, when they forked out £115m to sign Moises Caicedo from Brighton & Hove Albion.
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