There's a bit more safety than that. When you enter the country on an H1b, you get an I94 that is valid until your visa expires. If you then lose your visa (b

There's a bit more safety than that. When you enter the country on an H1b, you get an I94 that is valid until your visa expires. If you then lose your visa (because you've left the company or got fired), you can still legally stay in the country until your I94 expires. The caveat is, an immigration officer can take away your I94 at any time, at which point you would be forced to leave. However, as long as you avoid immigration officers, you are not breaking any laws by staying and looking for another job.