The Mirror says Barkley is set to be one of the players on the move from Stamford Bridge this summer.
The midfielder spent the year on loan at Aston Villa, but is unlikely to be signed permanently.
As a result, he's back on the market, with West Ham reportedly interested in making a move of their own.
Whether the Hammers step up their interest depends on the future of Declan Rice, who has strongly been linked with a summer exit.
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