The former Chelsea striker has likened Coutinho to the American magician, but the Brazilian has admitted that he had no idea who the illusionist was.
"To tell the truth, I hadn't heard about that!" Coutinho told the club's official website.
"If I'm not mistaken, he's a magician? David Blaine? I don't know, I guess it's cool for him to say that, but to tell the truth I hadn't heard about it."
The 21-year-old has claimed that he is close friends with Sturridge off the pitch.