BRUCE JENNER has been caught cross-dressing – complete with size 13 stilettos, The National ENQUIRER has learned!

In a sensational world exclusive, we can blow the lid off the Olympic hero’s twisted double life and reveal for the first time what he would look like in high heels, a mini dress, lipstick and lingerie!

The ENQUIRER has confirmed through Kardashian moles that his own stepdaughters, Kim and Khloé, have spied the gold medalist’s “secret fetish” clothing.

For his part though, Bruce doesn’t seem fazed at the sex swap talk – he’s even fuelling the rumor mill!

The ENQUIRER spotted Bruce in Los Angeles on Oct. 28 – his 65th birthday – flaunting a manicure with brightly painted pink nails!

He’s previously stepped out in public wearing a sports bra to support his growing bust, along with a form of women’s underwear – shapewear called Spanx, a favored slimming lingerie of the Kardashian clan.

Said a source: “Even his own sons believe their dad is transitioning.  Brandon and Brody know their dad is struggling with who he really is.”

For the FULL STORY with all the details – it’s only in the new ENQUIRER – on sale now!