Re-entry to US with H1B expiring in 1 month, no extension

[SwatK]

I'm planning to travel to Mexico for 5 days, and would return to US 1 month before my H1B expires on Sept 30. I'm relocating to India once H1 expires with my current employer(transfer), so we have not filed for extension. Would it be a problem to re-enter without filing for extension? I have a relocation letter and have already booked my return ticket to India. What other documents can I provide as proof for moving back?

Edited August 18, 2023 by SwatK

[Attorney_15]

Generally, it is lawful to enter the US with only 1 month remaining on one's H1B status. If CBP questions the person then informing the officer that the individual intends to leave the US at the end of that month should be enough for being admitted back into the US.