You might be able to use spectral sound removal which will be built in to the next version of Adobe Audition. It might take a lot of time, but maybe with this it could become possible.
The feature is shown in the first 6 minutes of the video.
http://tv.adobe.com/watch/adobe-at-nab-2013/adobe-audition-overview/
I know there are also some plugins that can do a similar thing at the moment, but if anyone has Creative Cloud (like me) you wouldn't have to pay anything more.