Fernandes has confirmed he's chasing the Manchester United icon.
He told the London Evening Standard: "It's an idea of mine that somehow some newspaper got hold of. I don't like to say something and then be doing something else and get caught out. So when I was asked I said, 'Yeah, it's something I'd like to do.'"
Fernandes has not spoken to the former England captain but may get a chance when Beckham goes out to Indonesia with LA Galaxy at the end of November.
The QPR owner admits: "It's a long shot. Tottenham, a much bigger club, have stuck their hand up. And then the question is, will the manager want him in December? Does he fit in our team? Does it make sense? Does Beckham want to come? There are a lot of ifs."