The Brazilian has produced some encouraging drives in recent races, but his team chiefs are well aware that a disappointing start to the campaign cost Ferrari valuable ground in the constructors' championship battle.
While Fernando Alonso leads the drivers' championship on 194 points, Massa has scored just 51. It leaves Ferrari third in the constructors' standings, where it trails Red Bull and McLaren.
A number of drivers have been linked with the Ferrari seat over the course of the campaign - including Nico Hulkenberg, Sergio Perez, Paul di Resta and Kimi Raikkonen - but the outfit is still edging towards retaining Massa for another season.
Team boss Stefano Domenicali says, however, that there is no urgency to make a decision.
"I don't know, I'll leave you with this question mark," he said when asked about a timeframe for resolving Massa's future.
"There are no limits in the regulations, as you know. This is the fundamental thing for me: management of drivers - like players - is done internally.
"It's not important to communicate outside. So, we'll communicate to you as soon as there are things to say, but not before then."