English papers reported on Wednesday that the Brazilian was spotted having a medical in Manchester.
Fernandinho has starred for Shakhtar in recent times and would join Jesus Navas at the Etihad as new signings for next season.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.