I must amend my federal tax return, but haven't yet filed state tax returns. Do I wait until my amended federal tax return is approved before I file my state tax return?

I had to add another W-2 to my federal tax return after I filed already. I need to amend the federal tax return. I have not yet submitted my state tax return. Do I need to wait until my amended federal tax return is approved before I file my state taxes (I would file state taxes off the amended amount)? I ask this question because my state taxes have to be mailed in with a copy of my federal tax return.