The Canaries travel to high-flying Derby today and have had Premier League big boys Liverpool and Tottenham hot on the attacking English starlet for weeks.
But MirrorSport understands Premier League leaders City have also joined in the chase as well.
It underlines the stunning progress and potential of ex-Coventry trainee Maddison, 21, who has eight goals and five assists in the Championship this term.
The Canaries refused to sell him in January as they offloaded Alex Pritchard to Premier League Huddersfield for £11m and Cameron Jerome to Derby instead.
While last summer they also cashed in on stars Jonny Howson and Jacob Murphy.