The Hero singer referred to Anna as his wife during a concert last year and she has been pictured wearing a gold band on her ring finger, but Enrique poured cold water on the idea.
He said afterwards: "We're just as happy. There comes a point when you've been with someone for a certain amount of time that I believe that you are like, married. I guess the only difference is that we haven't walked down the aisle."
The couple, who met on the set of the video for his 2001 hit Escape, are very private.
However, in an interview with Metro, he did give a small insight into their sex life, revealing it to be quite normal.
