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Egyptian star Salah has been in stunning form for the Reds in his debut season at the club.
The 25-year-old has already netted 21 goals in the Premier League and 27 in all competitions.
The forward has attracted attention from some of the biggest clubs in Europe, including Real Madrid.
And the Champions League winners are ready to up their interest in the former Chelsea winger, if he takes his Premier League form into the World Cup.
That is according to the Daily Mail, who report that the Bernabeu club are ready to revamp their squad this summer.
Zinedine Zidane has come under mounting pressure this season after a poor year.
Real have been knocked out of the Copa day Rey by Leganes whilst they sit 19 points behind arch-rivals Barcelona in La Liga.
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A number of targets have bene spoken about including Premier League trio Eden Hazard, Harry Kane and David de Gea.
With Salah performing every week for the Merseyside outfit, he is making a big impression on Real chief Florentino Perez.
“I'm happy at Liverpool”
Liverpool ace Mohamed Salah
He led his country to their first World Cup appearance since 1990 after scoring twice against Congo in October.
When pressed if he'd like to play in Spain one day, he said: "At the moment I am here (at Liverpool). I want to concentrate on my team and finish the season very well."
“If I have to say something, I'll say I'm happy at Liverpool."