On: H-1B visa use cuts U.S. programmer, software engineer wages by up to 6%

[Retric]

I know an H1B that switched jobs 3 times in the US. The rule is you need employment within X days of the loss of your job but you are NOT tied to a specific company.

[code_devil → Retric]

Yes, you are correct. I believe its 2 months, else you will have to leave the country.

However changing jobs does slow down your Green Card process as some of the paper work has to be redone when you join a new company.