The 28-year-old has been repeatedly linked with a move away from Stamford Bridge after failing to hold down a regular spot in the team throughout the season, but he claims that talks with Jose Mourinho have persuaded him to stay.
"Jose Mourinho has asked me to stay at Chelsea next season," Ba is quoted as saying by the Daily Star. "He assured me that my situation would change.
"I see this as my reward from God. I weighed up the pros and cons, and think that I will stay put to see what happens.
"I don't know whether my situation will improve, but what with the coach's offer anything can happen."
Ba moved to Chelsea from Newcastle United in January 2013.