Can I register my car in California if the back door window is busted out?

I need to re-register my car in California and I have it all ready, but am not sure if it will pass some inspection if the back door passenger side window is busted out. I simply have not fixed it yet. Do I need to wait to re-register(I am going to the DMV myself, not via mail/internet) until after the window is fixed to save a trip?