The Manchester City defender joins David Silva and Aleksandar Kolorov on the sidelines, but Frank Lampard returns to the squad.
The City defender sustained the injury during the 2-1 defeat to CSKA Moscow at the Etihad Stadium in midweek, but misses tomorrow's clash despite finishing the game.
Manager Manuel Pellegrini told reporters: "He has a calf problem… It is not serious but I don’t know if he will be ready for his international squad."
It means that Martin Demichelis and Eliaquim Mangala are likely to line up at the heart of the Champions' defence when they take on Harry Redknapp's side tomorrow evening.
News of Frank Lampard's return from a thigh injury will be welcome news for Pellegrini, with speculation surrounding his job after City's poor run of form, but the City manager dismissed any notion that Yaya Toure will be sold.
Pellegrini added: "He is just coming back from injury. I hope he will return the same way he was before his injury.
"There are a lot of reports Yaya will be sold. Nowhere in this club are we talking about that. Yaya is very important.
"In my 25 years as a manager, the only pressure I have is managing this team. I never feel external pressure."
With City facing a mountain to climb to get out of their Champions League group, and with the sides six points behind Chelsea at this early stage of the season, Pellegrini seemed to suggest the side just needs to keep going.
"Mathematics can give us qualification. We have 6 points left to play. We can qualify.
"It’s important to continue in the Premier League as we are – adding points We will continue fighting."