However, the Brazilian international has denied the rumours, claiming that he is content with life in England and the Premier League.
"I'm very happy in London, I like London and Chelsea. I like England and playing in the Premier League," he said.
"I play for a big club and when you play for a big club the pressure is so hard. But when you win you are the best and a hero, that is normal."
Luiz joined the Blues in January 2011 from Benfica.