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Saudi Pro League clubs are expected to reignite their interest but The Athletic reports Liverpool expects the Egyptian to stay put.
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Slot is also likely to seek reinforcements in the transfer window but a new spending cap is likely to impact Liverpool's financial dealings.
The Times reports Premier League clubs have agreed a deal in principle for the cap to be introduced.
Known as 'anchoring', the system would mean top teams can spend a proportion of the amount that the Premier League's bottom club receives in broadcast revenue.
It is reported that clubs at the top of the table could now be able to spend five times that amount.
Despite its midfield overhaul last summer, Liverpool would have been comfortably within the hard spending cap, which would have stood at $649m (£518m/€607m)
Liverpool owner John W.
He told the Liverpool ECHO: "There are ever-increasing financial challenges in the Premier League.
"The league itself is extraordinarily successful and is the greatest football competition in the world, but we’ve thought for some time there should be limits on spending so that the league doesn’t go the way of European leagues where one or two clubs annually have little competition.
Excitement depends on competition and is the most important component of the Premier League.”
Liverpool.com says: A spending cap is paramount to ensure the Premier League remains competitive.