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.
READ MORE...
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
