Lindsay Lohan hat new york city david letterman late show smile peace white coat knee highs Lindsay Lohan hat new york city david letterman late show smile peace white coat knee highs

And we're perking up after getting a peek at her outfit -- this is a major improvement over the oversize floral jumpsuit we caught her in earlier!

On Monday evening Lindsay Lohan taped an interview on The Late Show With David Letterman, and it won't air until tomorrow, but we're sure their chat covered the same stuff she's been talking about for the last few weeks while promoting for her OWN docu-series. You know, like how she's sober (but apparently she relapsed with a glass of wine?) and how she's learned soooo much since spending several months in rehab last year.

In her defense, she does seem to be in better shape lately -- not only is she working on a new film project but she looks happy and healthy. Don't call it a comeback...