Blanchett, 44, told Andrew Marr: "Whether a character says or does sympathy things is not of interest to me. I don't think my job is to make people like the character, I think that's quite nauseating."
When asked by Marr whether people would relate to Jasmine as a character, Blanchett said Jasmine's "great privilege" may prompt a lack of sympathy from the film's audience.
"I think there's this incredible weight of judgement that we bring to when we see a character," she added.
Blue Jasmine follows the story of elegant New York socialite Jasmine (Blanchett), who is forced to move in with her down-to-earth sister Ginger (Sally Hawkins) in San Francisco after she finds herself bankrupt and broken.
"You looked like you had no make up on at all in the last scenes," said Marr, to which Blanchett quipped: "That's probably a bit of a career-killing decision, but nonetheless film's a finite decision and I made that decision.
"She's a woman on the verge, she's this febrile cocktail of rage and guilt and fear. But she's also on a cocktail of Xanex and vodka."
The Australian actress described the film's director Woody Allen as "an incredible dramatist in the line of Bergman", and that each film he makes represents a chapter in his body of work.
When asked by Marr if this was the single most challenging film role she'd ever had, Blanchett responded: "Yes probably, I mean you find the challenge in everything you do. There are pitfalls, obviously it's a Woody Allen film so someone's going to go and see it, even if you screwed it up, but it was a very complex character and so for me I really relished trying to tease all of those corners, and to go into every recess."
Speaking about one of his most high-profile roles, playing Galadriel in the Lord of the Rings film trilogy, Blanchett spoke of the challenges in assuming such an ethereal character.
"I didn't know how to be an elf, you find the challenge in everything. The ears help," she laughed.
"We share that at least," agreed Marr.
And if you are in the United Kingdom you can watch the whole interview here
