The midfielder suffered the injury on international duty for France during the week, but he could be available to Roberto Mancini for selection at the DW Stadium
The Frenchman suffered the injury in a goalless draw against Romania, but club sources have indicated that the injury is not expected to be bad enough to rule him out of City’s home match against Wigan Athletic on Saturday.
Nasri said on Twitter: "Thank you for your messages. I broke my finger during the last international game, I will let you if I will be able to play Saturday."
Should he miss the match it would be a blow both for Nasri and his manager, Roberto Mancini, after the 24-year-old’s debut marked a 5-1 victory away to Tottenham Hotspur, although the Italian has a number of players he could use instead of the midfielder.
A bigger concern for Mancini will be the amount of travelling completed by his squad during the international break.
Sergio Aguero spent his time in Asia playing for Argentina and the long hours travelling could tempt to play Carlos Tevez up front despite his wish to leave the club.