Didier Drogba was brought back to the club at the start of the season to provide extra striking cover and experience in the dressing room.
Mourinho re-signed Drogba at the start of the season, bringing an experienced figure to the dressing room that he knows well, along with another striking option up front with the 37-year-old being used very much as cover for Diego Costa, and at times Loic Remy.
The Chelsea boss is quoted on their website, saying: "I think it belongs to him: what he feels, what he thinks. When they reach this age, I think it's more about them analysing themselves. It's not just about the body. It's about the body, the brain, the heart, family, projects for the future.
"I think, this is a club thing. This is a Mr Abramovich thing. Mr Abramovich wants him to do what he wants in the club, but it's something Mr Abramovich has to tell him. He has to decide. But, obviously, he belongs to the history of this club."
Drogba has had his role to play with six goals so far this season, notably a run during November when he took the place of the injured Costa and scored in each of the three games.
He isn't the man at the peak of his powers who contributed so much to the three previous Premier League title wins, their FA Cup successes and their Champions League win, but Drogba remains an influential figure.
One thing for him to consider is whether he feels he can make a sufficient contribution beyond this season, and as Mourinho has said - it's a decision that only the former Ivory Coast international can make.