The 37-year-old is believed to be the centre of attention from young girls and their mums whenever he takes his sons Romeo and Cruz to training.
"David takes Romeo and Cruz to football practice in LA at the same club where the under-10 girls team play," the Daily Star quotes a source as saying.
"The girls and their mums jump on him, wanting hugs, autographs, photos. One cheeky little girl even asked for his T-shirt off his back."
Meanwhile, the former England captain has been named Celebrity Nose of the Year.