The teenager had been keen to secure a move to the Bundesliga champions but an increase in game time and new contract proposal may change his mind
Callum Hudson-Odoi is set to make a decision on his future in the coming days, with Chelsea growing increasingly confident he will commit his future to the Stamford Bridge outfit.
With Bayern Munich offering £35 million ($45.3m) to take the teenager to the Allianz Arena and with first-team opportunities hard to come by, Hudson-Odoi had been pushing for a move to the Bundesliga champions.
The Blues are willing to offer Hudson-Odoi a deal worth £70,000-a-week to tempt him to stay in west London despite him only having made 13 senior appearances.