My wife is eligible for H-4 EAD, I know there is no formal way for expediting the process but I've seen a clause in F-1 (OPT) EAD process called "financial loss" and if you've got a job and submit the offer letter while you're waiting for an EAD to get approved, they process your case faster and you get the EAD much sooner than expected. Does this rule apply for H4-EAD as well?
See clip from Attorney Rajiv S. Khanna's conference call video that addresses this question.
FAQ: US Citizen applying for Green Card for visiting family member (spouse/parents); Birth and Marriage Certificate Issues; FAQ: Getting nanny/domestic help from India; FAQ: After getting Green Card - how long do you have to stay with your employer.
FAQ: H-4 EAD filing while H-1 extension is pending; H-4 EAD. Converting from H-1 to H-4 EAD - good idea or not? H-4 EAD. Documents needed; name issues; processing times, etc.; H-4 EAD Expediting Possible?
Other Topics: Green card issues because of diseases; H-1 amendment with change of location; when is a degree considered to be completed;