The duo have come in for criticism this term, with the Serbian struggling for form and the Italian defender guilty on both goals in Saturday's disappointing draw at home to Genoa
Juve led twice through a brace from Alessandro Matri, but were pegged back on each occasion by strikes from first Marco Rossi and then Andrea Caracciolo five minutes from time.
Krasic was unconvincing once more, while Chiellini was at fault in the build-up to both goals, but Conte says the two are "fundamental" to Juventus' hopes of success and claims he is responsible for getting the best out of the duo.
"A coach must get the maximum from his players, especially when they are going through a difficult moment, like Krasic and Chiellini," Conte said at a press conference ahead of Tuesday night's mouth-watering match against Fiorentina.
"They are two fundamental players and if we start to question two players like them, I will start to become anxious; it becomes a problem when we start to doubt players like Chiellini - for me he is a guarantee."
Conte also revealed that he will call on some psychology to get the best out of his stars, who remain unbeaten but have now drawn four of their last five Serie A fixtures to drop to third place.
"I must do a great job technically, tactically and also psychologically," he explained.
"I speak to some players more than I speak to my mother and father, depending on what is necessary."
One player unlikely to feature any time soon is goalkeeper Gianluigi Buffon, who remains sidelined with a shoulder problem.
"The physiotherapy is ongoing," Conte advised.
"The medical team will make their evaluations, but he will tell me when he is ready."
Striker Fabio Quagliarella is ready to return, however, and could feature against Fiorentina on Tuesday. That game kicks off at 20:45 (CET) at Juventus Stadium.