H1 to H4/H4 EAD

My spouse’s H1b extension application was submitted online a month ago. My current status is H1b and I need to convert to H4/H4 EAD. I need to file a paper application for H4/H4 EAD and send it to Phoenix Lockbox. My question is can my spouse send a premium processing application along with my H4/H4 EAD to the Phoenix location to have his H1b which is applied online and my H4/H4 EAD be processed in premium. Will it cause any issues to any of the applications?

You cannot choose a service center by yourself. Usually, the applications sent in the same package by mail are connected.

The online filing and mailing of the others are usually disconnected and may end up at different service centers.