Why would it do that? Once the visa runs out, you're out, and the employer can't really help with that.
If you're on a H1B visa, you really need to figure out a plan to a Green Card ASAP, unless you're not planning to stay long term.
If you're on a H1B visa, you really need to figure out a plan to a Green Card ASAP, unless you're not planning to stay long term.
You're right about the green card, however even if you can get the employer support you need, it takes years and further restricts your employment options in the meantime.