Per Murhty.com :
- 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.
In general, for a person with a pending I-485 to travel, it is necessary to first obtain a travel document known as an advance parole document. If the person is maintaining valid H1, L1, H4 or L2 status, s/he can choose to instead use a valid visa stamp to travel, as opposed to obtaining the advance parole document.
Hope this helps you.
Dear