The 22-year-old Spain international has been at Atletico all his career and played a key role this season as Diego Simeone's side clinched the Primera Liga title and reached the Champions League final.
He has told Marca he is content at the club despite being flattered by Barcelona's interest.
He said: "I still haven't had time to read what has come out. I am on holiday and I plan to disconnect.
"Barcelona is one of the best teams in the world and that they are interested in you means that you must be doing something right. That is very nice for a footballer.
"In any case, I only think about keeping working. I want to stay here and everyone knows it. I see myself at Atletico next season."
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