Does anyone know if they are going to release a recording of the American Idiot musical?

I know they already have a CD out of the songs sung sejak the cast of the musical, but I'm wondering if they are going to release a DVD of the whole musical. I lamely enough, haha, really, really, want to see it, so a DVD would be great. I just have no clue if they are actually going put out a DVD of it.

So, anyone know?