Paula's Not Drunk -- Just Adorable?!

While Paula Abdul's intoxicating brand of incoherence has many, including David Letterman, questioning her sobriety, the tragically delicious "American Idol" trainwreck told the "Late Show" host that the reason people think she's always drunk is because of her "adorable personality." Slurring is so cute!

After Paula told David how endearing she is, the 45-year-old added, "Wouldn't you want me around 24/7?" Like a hangover that just won't go away!

Paula claims she's never been drunk. Insane -- that's an entirely different story!