The Sun says Ampadu, who turned 17 last week is in the squad to face Nottingham Forest in the Carabao Cup at Stamford Bridge.
The Blues are still in talks with the League Two side about compensation – the Grecians are demanding £3million for the highly-rated star, but a fee now looks likely to be settled by a tribunal.
Blues boss Antonio Conte has been impressed with Ampadu while training with the first-team squad at Cobham.
The teenager made his Exeter first-team bow aged 15 in the League Cup last year and was in the Wales squad for the World Cup qualifiers against Austria and Moldova last month.
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