The Brazil international has reportedly caught the eye of the Spanish league leaders and admitted that any interest would be "a source of pride".
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For now, however, the £22 million 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."