Newsweek's Maziar Bahari suggests he might:
As for conservatives, while they're putting up a united front in public, their distaste for Ahmadinejad is growing. Tehran Mayor Mohammad Bagher Ghalibaf, a former Revolutionary Guards commander, recently complained that if Iranians had a proper place to express their discontent they wouldn't take to the streets. Another former Guards commander, Mohsen Rezaei, recently apologized for the fact that "because of legal constraints, my friends and I cannot do anything to put an end to this situation except advise those in power." Sources close to conservatives say that some leading figures are now pressing Khamenei to dump Ahmadinejad in order to preserve his own position.
The Dish 