SHORT answer: YES
Long answer
A couple of commenters requested that DHS allow eligible H-4 dependent
spouses to file the Application for Employment Authorization (Form I-765)
concurrently
with an Immigrant Petition for Alien Worker (Form I-140) or an Application
to
Extend/Change Nonimmigrant Status (Form I-539). For the reasons that follow,
DHS
agrees to allow Form I-765 to be concurrently filed with Form I-539, but not
with Form
I-140.