Can I enter the U.S. on H1-B visa after I quit my job?

jlsu

Registered Users (C)
I plan to quit my job in about a month and then move back to my home country. However, I would like to travel a bit after I quit and before I leave for my home country. I do have two valid entries on my h1-B stamp. Can I travel internationally and be allowed to enter back into the U.S. after I quit? Does the immigration office at the border know that I'm no longer with the company? Does my h1-B automatically invalidates the moment I quit my job?

Thanks so much!
 
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