The Bundesliga club are thought to be keen on the 22-year-old despite him penning a new long-term contract with City last year.
The Sun report that City will put the huge price tag on the striker as a clear sign that he is not going anywhere.
Jesus was signed for £28.6million from Palmeiras in 2016 as a long term replacement for Sergio Aguero.
Click Here: st kilda saints guernsey 2019
Aguero, 31, continues to be the main striker for Pep Guardiola, though, and already has eight goals this season.