No word on a tour yet.
Usually broadway musicals (new and revivals) wait until after the Tony Awards to do a national tour. And I would be very surprised if Mary Poppins did not do a national tour eventually. However I think some recent musicals did not do a tour or toured for a very short period of time(La Cage aux Folles), but La Cage was a revival.
If Mary Poppins does do a tour, some of the sets and special effects may be watered down because not all theatres have the facilities to support a full broadway set and just for ease of breakdown during moves as well.
You can always check the major theatre cities like Chicago for upcoming news:
Or you can go to:
They have official news of what's going to be touring and such.
I hope this helps!