The Daily Mail reports that the Black Cats are keen on signing the highly-rated winger.
Johnson has also been linked with the likes of Everton, Liverpool and Tottenham.
Sunderland boss Martin O’Neill is also reportedly interested in Manchester United striker Dimitar Berbatov and Tottenham youngster Danny Rose.
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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.