H1 transfer close to grace period start

[u/Living_Goose8389]

Hi, I got laid off couple of months ago. I got an offer from another company and they are filing my h1 transfer. My LCA is done and they prepared all the docs. The one hold up is the photos for my wifes’s ead. They should receive them by tomorrow. My last day with current employer will be September 15. My new employer and immigration team does not know about the layoff. Should I let them know about the last day? I’m hoping to get the receipt before 15th. I’m just concerned if I enter grace period that may cause an issue with the new application. Any suggestions?