According to the Sun, Hudson-Odoi wants to be a first-team player when he returns to fitness.
Chelsea have reportedly offered the 18-year-old a big payrise and the number 10 shirt vacated by Eden Hazard upon his departure to Real Madrid.
However, Hudson-Odoi is believed to value promises of playing time over money and gestures.
The uncertainty over the mangerial position at Chelsea is also cited as a cause for doubt in the England international's mind.
And now Christian Pulisic's arrival at Chelsea from Borussia Dortmund suggests that there is a limited number of spots up for grabs in the wide areas.
Although his injury was thought to have deterred interest from elsewhere, Bayern Munich "aren't giving up" on Hudson-Odoi.
Bayern offered him the chance to fill their no. 10 role on the pitch as part of their plans to tempt him back in January.
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