That would mean the pair could be available for a crucial game in the Premier League title race against Chelsea.
Manchester City manager Manuel Pellegrini has said that Sergio Aguero and Edin Dzeko could return from injury in the second half of January, whilst Vincent Kompany and Stevan Jovetic are closer to returning.
Kompany has been out with a calf injury since the win over Southampton, whilst Stevan Jovetic, along with the City captain, could be fit for the New Years' Day game against Sunderland at the Etihad Stadium.
Pellegrini told reporters ahead of the Boxing Day trip to West Bromwich Albion: The injuries are the same as last week – Sergio, Edin, Stevan and Vincent are not fit for this game.
“Maybe Jovetic and Kompany will be back at the end of next week. Edin and Aguero maybe will be the second part of January."
City operated without a recognised striker last time out in their 3-0 win over Crystal Palace, with David Silva scoring twice, and Yaya Toure adding a third.
They may well adopt the same tactic away to the Baggies as they look to keep up the pressure on Chelsea in the title race. Manuel Pellegrini has said December is an important period in the season, but not a time when you can win the title.
The defending champions are currently three points behind Jose Mourinho's side, but the City boss says they are not thinking about their title rivals.
He added: "At the moment we are playing at a high level. We need to do this regardless of whether players are injured or not.
"At the moment we are playing at a high level. We need to do this regardless of whether players are injured or not."