The Daily Mirror claim Jurgen Klopp could flog his £43.7million summer signing to help pay for the American wonderkid the Blues are close to securing.
The 20-year-old Borussia Dortmund and America winger showcased his abilities at Wembley last week, despite USA falling to a 3-0 defeat to England.
His contact with Dortmund expires in 2020 and the German giants know they need to cash in now to avoid losing him for nothing in 2020.
Despite attempts at opening negotiations over a new bumper package, Pulisic has his heart set on leaving Signal Iduna Park.
Manchester United and Liverpool are among a host of Europe’s big guns interested in the attacker, but it is Maurizio Sarri’s Chelsea that have won the battle for his services.
England player ratings: Harry Kane and Jesse Lingard strike gold
ENGLAND reached the Nations League finals with an amazing fightback against Croatia.
Gareth Southgate's side missed chances to be out of sight by half-time before Andrej Kramaric put the visitors ahead with a deflected effort after the break.
Fabian Delph was a shock inclusion in starting XI but Manchester City man impressed at Wembley.
But Jesse Lingard tapped in to give England hope and Harry Kane's 85th-minute finish from a Ben Chilwell free-kick gave the Three Lions a 2-1 win that takes them to Portugal's finals in June.
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Pulisic is one of the brightest talents in the Bundesliga but has faced a battle with emerging England ace Jadon Sancho for the wide spot.
The Three Lions starlet was preferred for last week’s 3-2 victory over Bayern Munich to maintain top spot in the German top-flight.
Pulisic, who was an unused substitute against the reigning champions, joined Dortmund aged 16.
But his refusal to discuss a new contract has prompted them to sell the attacker.
Fabinho, 25, has failed to nail down regular first-team football with suggestions he may not last a full season in England.
And with Jordan Henderson and Naby Keita returning to full fitness, he could find himself back on the bench.
Fabinho is happy to fight for his place and is desperate to make an impact on Merseyside.
He said: “The moment is good, being called has helped too. So I'm very happy, I hope I can keep it.
"I know the rate here is very high, you have to always try to keep a good performance, and in our team we have a lot of options in the midfield.
"Of course it's not possible to be always called, but whenever the coach needs me I want to be ready for it."
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