The People reports that Bayern are ready to make a bid for the striker and would even offer Robert Lewandowski in exchange.
Bayern Munich boss Pep Guardiola has been tracking the Argentinian striker for years and is keen to bring him to Germany.
The German side are ready to back Guardiola with a big-money bid for Aguero.
City are reportedly looking for more than £40million if they are to consider selling Aguero.
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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.