The Brazil international has reportedly caught the eye of the Spanish league leaders and admitted that any interest would be "a source of pride." For now, however, the 22 million pound signing from Benfica is content to focus on his form at Stamford Bridge.
"I'm happy that a club such as Barcelona is interested in me," Luiz told The Sun. "They're a team of winners and their interest is a source of pride for me.
"I'm a Chelsea player for now. I work hard every day to make people appreciate what I do. I try to do my job in the best way possible, wherever I am."
Luiz has often operated in midfield under Rafa Benitez, but he was slotted into Chelsea's lineup at center back against Manchester City on Sunday.