I don\'t think Ben88 is Right
From Murthy.com per 5/2000 INS Memo (The latest)
- An H-1 or L-1 holder who entered the United States on advance parole can apply for an extension of H or L status, and the approval of that extension would enable the person to return to the U.S. on H-1 or L-1 status. (To maintain that status, the person cannot seek outside employment.)
- An H-1 or L-1 holder who travels out of the United States, and returns on advance parole, is authorized to continue working for the H-1 or L-1 employer. He/she would not be required to obtain an EAD to work for this same employer, within the validity dates of the H-1 or L-1 petition approval.
- If an H-1 or L-1 holder presents both advance parole documents and documents of valid H-1 or L-1 status at the port of entry to the U.S., the INS Inspector should tell the person that she/he is not required to present the advance parole, and admit the person to the U.S. on the H-1 or L-1 status.