Discuss the matter with the employers' attorneys who filed the various petitions/applications. It is very risky to jump from petition to petition while they are pending because even if the ultimate non-immigrant status is obtained you could still have problem with accumulation of unauthorized status/employment if you get to the EB green card process in the future.
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Your dependents should file for change f staus from L-2 to H-4 and indicate an effective date of November 1 when you intend to join the H1 employer.
Madrid Crost Law Group - (888) 466-4478; e-mail: email@example.com; skype: usvisalaw 10 S. La Salle Street, Suite 3320, Chicago, IL 60603 Please consult with a licensed immigration professional to provide you with a thorough legal advice. This response is not a substitute for specific legal advice and it should not be construed to create an attorney-client relationship. Please help stop notario fraud. Please visit and share this site: www.stopnotariofraud.org.
I agree with Ms. Glazer ... jumping around can cause future problems.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- This blog posting is offered for informational purposes only. It does not constitute an attorney-client relationship.