The goalkeeper has sights set on the top of La Liga following Real Madrid's win over the Bianconeri, while denying he had given the club an ultimatum
Casillas, 32, is unlikely to start ahead of Diego Lopez against Barcelona this weekend, but that has not stopped him dreaming of going level at the top of La Liga with a win.
"A victory on Saturday will carry us to the top of the table with Barcelona," he told Canal Plus. "We have to go to Camp Nou keeping in mind this victory."
Two first-half goals on Wednesday from Cristiano Ronaldo ensured Madrid maintained their commanding position at the top of Group B.
Juve had equalised through Fernando Llorente, but the Portugese added a second from the penalty spot after Giorgio Chielllini had hauled down Sergio Ramos in the box.
It was to get worse for Chiellini as he was shown a straight red for a controversial block on the Portuguese in the second half.
Casillas believes the victory was fundamental to their last 16 aspirations as they only need a point when they visit the Bianconeri on matchday four to go through.
But says the win did not come easy despite playing against 10 men for the majority of the second half.
"We have taken a very important step," Casillas said. "It was not easy even when they were down to 10 men for almost the entire second half. Now we go to Turin, aware that even a draw could lead us to the knock-out stages."
Casillas has been linked with a move away from the Santiago Bernabeu due to being out of the regular starting line-up for around 10 months.
But he insists that claims he has made demands to the club are fictional and borne out of false rumour-mongering.
"Regarding my future, I didn't give an ultimatum to Real Madrid," the Spain international added.
"Unfortunately, my name is always in the media and some people do nothing but talk about what I say, when I say it and why I say it."