Aguero was in Amsterdam when the taxi he was travelling in crashed into a lamp post, and at his pre-match press conference ahead of the game with Chelsea, Pep Guardiola revealed that he hoped the Argentine would return "ASAP".
However, Aguero has confirmed initial reports that he suffered a fracture to his rib, an injury which is likely to keep the forward on the sidelines for the foreseeable future.
On social media, the 29-year-old said: "Thank you with all my heart for the supportive messages, they really do help me in recovering.
"The taxi I was riding made a wrong turn and crashed against a pole. It was a very heavy slam but seatbelts prevented it from being worse.
"I'd like to thank the staff of the VU University Medical Amsterdam for their care and support. Hats off to all their team. Now I'm in my house in Manchester after having been evaluated by doctors of the City. I have a rib fracture."
Aguero has scored seven goals in eight appearances in all competitions this season.