The People says classy Danish centre-half Christensen, 18, has been superb for the Under-21s and youth sides at Stamford Bridge.
He is itching to make a first-team breakthrough and that is causing a headache for Jose Mourinho with City keen to tempt him to Manchester.
A source close to Christensen said: "Andreas wants to be playing and stretching himself more. There is a problem coming and it is not about money - it is purely about his football career."
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