The Manchester City striker is expected to be sidelined for about a month after the taxi he was travelling in last week hit a lamp post in Amsterdam.
Etihad sources, however, insist his painful condition has made significant improvement in the last few days and there are even suggestions the 29-year-old could now make a return quicker than anticipated.
City's doctors have already assessed Aguero, who is asking for the go-ahead to maintain his core fitness and see how he fares in some light sessions.
Aguero had started this season on fire, scoring seven goals in eight appearances, prior to his misfortune in the Dutch capital.
The Citizens may look to use oxygen therapy to further speed up the healing process of their main forward, although club insiders are still maintaining they will be taking no risks with 'Kun'.
Another boost for Pep Guardiola will be the sight of midfielder Fabian Delph at training this week, having been forced to withdraw from the England squad last week due to a tight hamstring.