The famous team wrote off last year's championship early to focus on 2012 with an aggressive project, with new British technical chief Pat Fry in the spotlight.
But also feeling the pressure is team boss Stefano Domenicali, who said at the weekend that he has "the support of president Montezemolo".
"I am not the one who designs the car: my task is to give my people everything they need in terms of organisation and structure," said the Italian.
But Montezemolo denied that Ferrari will react in arguably typical fashion by making sweeping changes.
"I've always given my staff time and trust," he told La Gazzetta dello Sport. "We have not even begun and already you're putting the people in doubt?
"Let's not have that talk," insisted the Ferrari president.
He admitted the F2012 has untapped potential.
"There are too few tests and unfortunately they are in public. But I would still wait before drawing conclusions about the title fight.
"According to the drivers, the F2012 has some negative elements, but also some positive. The problems have been identified and I hope they can be fixed quickly," he added.