The youngster has recently been linked with the likes of Arsenal, Chelsea, Inter Milan and Juventus.
Sky Sports reports that City have managed to lure the 16-year-old to the Etihad Stadium.
Ntcham have reportedly been in Manchester on Monday to hold talks with City over a move.
City will have to pay Le Havre a compensation fee for the youngster.
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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.