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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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.