Why don't you try it.
Why don't you go to the web site of Unemployment Insurance for the state or states where you worked in for the last 24 months. If you worked for more than one state, then pick the one that gives you more. May be you will be eligible in one state and not for another state, I don't know.
Just go to the web search under "Unemployment Insurance" and call them and apply on the phone. If you don't find it, then let me know what state or states you worked in last 24 months, I will help you.
One thing: Being eligible does not mean it does not affect your green card application. So, please check with a lawyer about that.