The 22 year-old has enjoyed a superb breakthrough season with the Yellow Submarine.
Relevo says Chelsea are now challenging for Jrgensen.
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Chelsea currently have goalkeepers Robert Snchez, 26, Djordje Petrovic, 24, and Marcus Bettinelli, 32, all on the books. But they're in the market for another addition.
Wolves and Newcastle - as it was also previously reported - are also showing interest.
Jrgensen has a contract with Villarreal that runs until the summer of 2027.