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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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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