"He'll be 100 per cent ready. I heard from him an hour ago and everything's going great in his recovery. He'll be in perfect shape," the Italian is quoted as saying by the news agency ANSA.
Massa, 28, had plastic surgery earlier this week to repair facial bone damage sustained in his Budapest qualifying crash.
Montezemolo on Thursday also said he hopes to see Michael Schumacher renew his F1 comeback when also fully recovered from injury, and refused to link Spanish bank Santander's arrival as a major new team sponsor with speculation Fernando Alonso will race a Ferrari in 2010.