The Inter president has insisted that he will not make a decision about the coach until after their game with Udinese on Sunday
The San Siro outfit currently sit in ninth place of the Serie A with no chance of qualifying for a continental competition next season.
Moratti has previously insisted that he will stand by his young coach, despite the disappointing campaign, but now says he will make a definitive decision after their clash with Udinese next week.
"It is not yet time to talk about his future, there is still a match left this season, let him work in peace," the 67-year-old told reporters.
"The number of defeats collected this season will not affect the decision on whether or not he will stay, that would be absurd."
Stramaccioni took the reins at the club last season on an interim basis after Claudio Ranieri's sacking and was subsequently awarded the job permanently.