Amended 2023 tax and e-filed for Fed tax return in TT, what about State tax return?

I amended the 2023 tax (to adjust 1099-NEC) and e-filed in Turbo Tax.  It let me e-file for the Fed Amendment, but didn't give me an option to e-file State (IL) Amendment.  Read some discussion threads and some say "if Fed Amendment has been e-filed, it will 'automatically' transfer to the State returns.'

Not sure if this is accurate or not.  Do I need to mail the State Amendment separately or wait for the Fed Amendment e-filing to be accepted and hope it will 'automatically' transfer the amendment to the State returns?

Hope this question makes sense...

Thank you in advance.