Real are turning to Bastos after missing out on Inter Milan fullback Douglas Maicon.
"People are saying things right and left, I try not to pay too much attention and it does not bother me, the only thing I want is to return to action soon," Bastos told L'Equipe.
"I do not want to know anything about this story until there is something official, and I have acknowledged it. Real Madrid would be a great club for me but they have not made any offer, and no one has called the club."
He added: "I know that the leaders of Real Madrid have said that their signings are over, but you never know.
"If I leave today, tomorrow, or next year it will be because the club believes it is a good deal for them and for me. Otherwise, I will stay."