Tricky. That would be "pushing the envelope"too far.. Talk to the immigration lawyer often you employer before you attempt to return to the US.
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.
It would be best to:
1. Talk to the new employer's immigration lawyer (not a non-attorney in HR), and
2. Get a new visa stamp.
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You are allowed to, as long as you have an unexpired H1 visa stamped on your passport, the new approval notice (original) and a letter from the new employer confirming employment.
Business Immigration Attorney. For H, L, J, EB5s, PERM and EB1/2/3 Petitions. Call 800-688-7892 or visit www.ImmigrationDesk.com. Law Office of Anu Gupta. The advice suggested here is for general information only and not to be construed as legal advice.