The Brazil international was linked with Barcelona and Manchester United in the summer.
The 30-year-old is keen to remain at Stamford Bridge for the next five years.
“A lot of people, they say a lot of things in the press, but I never said that I want to leave Chelsea, never,” he told the club’s website.
“Always I say that I want to stay at Chelsea as long as possible, and I am happy to stay here.
“My mind was always like that, always when I arrive here my plan was to stay here as long as possible and now I am here five years, I hope to stay five more.
“I know I have two years of my contract left but I hope to stay more years in the Premier League.
“I am very happy to be here five years. I have won titles and played a lot of games with a lot of happy moments, and a few sad moments as well but that is part of football. These five years have been very good for me and I am proud to be a Chelsea player.”
