Kompany has been out of action for City since May this year but as a huge encouragement, the defender has rejoined training sessions with the rest of the squad recently, while undergoing blood tests following a series of soft tissue injuries.
Kompany is said to be keen to feature in the Manchester derby at Old Trafford on Saturday and it remains to be seen as to whether the Belgian will be fit in time to lineup for the Citizens on the day.
Now City boss Pep Guardiola has gone on to provide an update to Kompany's injury and has stated that while the defender's blood tests are good, he is not willing to rush back the 30-year-old.
Guardiola said: "Every day is much better but until the blood tests are perfect, he is not going to play with us.
"You have to avoid a situation that when he starts he gets injured again. You have to accept if it's because of football but not for the reasons which have happened in the last three years.
"He missed a lot of games and has had something in his muscle which was not right. He is going to start to train fully. I am surprised by how much he is a fighter and he is working morning and afternoon.
"So now he has gone again for tests. When the signals in the blood decrease then OK. He has trained on some things with us but in terms of being competitive, in terms of the games and contact and duels, he won't until he is ready.
"What is important is the doctor told me now his muscle is clean. He can train now. He will be part of the group and after we will decide if he is able to play or not."