What are the chances War Paint transfers to Broadway?

With Hello Dolly, Dear Evan Hansen and (potentially) War Paint, it's hard for me not to think about visiting NYC. Perhaps it's too early to tell, but does anyone have any 'inside' information on if/when War Paint may transfer? It's selling pretty well already, and I feel like there is no way you assemble that cast and creative team without having bigger things in sight than Chicago.

Given Michael Greif is involved in both projects, does it prevent them from opening at a similar time? (e.g., next spring?). Will we see one upon in the fall and the other next year?

Updated On: 5/14/16 at 07:22 PM

I thought it's already confirmed for the Nederlander.

it's coming to Broadway, allegedly to the Nederlander. They took all New York people to Chicago, including the crew, and management team...

Cindy Adams said next spring, which makes sense, since LuPone said she has an option for two more seasons of Penny Dreadful (which films in Ireland in the fall and winter).

it's going into a Shubert house in the spring.