The Daily Mail says City directors believe Guardiola will run down his contract and leave when his deal expires in 2025.
As such, City will begin considering a replacement.
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Girona coach Michel has been mentioned, with both clubs owned by City Football Group.
Germany coach Julian Nagelsmann and Bayer Leverkusen's Xabi Alonso is also highly thought of. Guardiola himself admires Roberto De Zerbi, who has left Brighton.