It is reported that The Blues have offered the England skipper a £150,000-a-week deal.
Mourinho said: “John is almost signing a new contract. If he hasn’t then he is doing that in the next few days.
“But, when he says it would be very difficult for him to play with another manager in his career and he would like to do it with me until the end of his career, it is because he accepts my philosophy as his.
“He feels comfortable with the work we do.”