The Spain international came up with the goods late on as the Old Lady won 1-0 in Turin, while Gianluigi Buffon claimed a win for the visitors would have been fair
The hosts dominated the match but struggled to find the breakthrough and had to rely on the Spaniard’s late intervention to secure all three points.
The former Athletic Bilbao striker has not been given the easiest of times by critics since arriving in Italy in the summer, but he feels that his performances are getting better and his goals are testament to that improvement.
"We are happy, it was a very tough game against a good team like Udinese," the 28-year-old told reporters after the match. "We created many scoring chances but we could not convert them.
"Today we just had to win and we did that, the victory came in the final seconds after a great effort. My goal? I was hoping to do well, I'm working to continue to improve."
The result sees Antonio Conte’s side move three point clear at the top of the Serie A having won their last six games on the bounce and gave Gianluigi Buffon his eighth clean sheet of the season.
"A game like tonight's could have gone either way and nobody would have had cause for complaint with the final outcome," the Bianconeri captain commented after the game.
"There are wins that are worth double and this is certainly one of them."
The Turin side implemented a new policy against Udinese to make sure there were no empty seats in the stadium, as local school children were allowed in for free - something both players think is a fantastic initiative.
"It was a beautiful thing to see all these kids here at the Juventus Stadium to watch the game," stated Llorente.
Buffon added: "It was nice to see the stands occupied, playing with empty seats is not a good advert for football."