I'll spare you the indignity of having to watch that clip as the answer is no, she won't.
Olivia Wilde, whose porn-ready birth name was Olivia Cockburn, was a guest on David Letterman's program last eve, and talked with Dave about her nude scene in the new film Third Person, being released on Friday.
Dave attempts to get her to re-enact the shooting of the scene, and Olivia seems game, but then chickens out. Plus it's network TV, what were you expecting? Thankfully, Olivia has gotten nude a number of times on film before, so we can just take a look at these pics and imagine them taking place on the well-lit stage of the Ed Sullivan Theatre.
Via The Late Show