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.
Quiz! How many of Real Madrid’s 50 biggest ever transfers can you name?
England captain Steph Houghton demands more televised games to help boost women’s football
