The 25-year-old England international is expected to leave City on loan this summer.
Johnson has fallen down the pecking order at the Etihad and is expected to be keen on regular first-team football.
Metro reports that Fulham are also reportedly keeping tabs on the winger.
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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.