The 27-year-old, who was once married to American singer Katy Perry, believes that the former England captain, who has an underwear range for retailer H&M, is a "god".
"David Beckham is a god," The Metro quotes Brand as saying. "Just look at him in those underwear ads. I'm not gay but I would eat food off his body. Preferably something that needs to be mopped up, like egg. I'd eat it off his stomach."
Meanwhile, the 37-year-old player is believed to have enrolled his daughter Harper in dance lessons.