E-Verify and Hiring

[Thien N]

The company I am currently working at wants to do OPT STEM and H1B for me.

For STEM:

- They do not enroll in E-verify, so they want to move me and my supervisor (CIO) to another entity of theirs (different EIN), and have E-Verify at that location.

- My OPT STEM should start mid May, 2017

My question is, does it matter if they move us first, then enroll in E-Verify later (before the start date of STEM), or the other way around (enroll E-verify first, and move us later)?