Don't be scared to call your unemployment office for answers to your questions. Not knowing where you are from, I will be guessing. But If I had to guess I would say NO. The 401k is money that you already earned, It just has not been taxed. It will be taxed when you take it out of the 401k account. Your employment office does not even know what is in your 401K account. What they will be concerned about is that you lost your job and that you need some money to live on. They are not concerned about your investments such as the equity in your house, your savings, the equity in your cars, if you have a hot rod in the garage or you have gold or silver jewelry or coins that you can sell or artwork, or bill bass boat or motorcycle. See how funny this question becomes when you talk about assets and unemployment.
A more important question for you to be asking is what kind of tax and penalties will you have to make if you do take a distribution from your 401K. Check with a tax preparer/cpa for answers and IRS publications concerning 401k. I could be that you can take a distribution without penalty because you are unemployed. This is an area that takes a sharp pencil and some thinking before you act. Good luck
A more important question for you to be asking is what kind of tax and penalties will you have to make if you do take a distribution from your 401K. Check with a tax preparer/cpa for answers and IRS publications concerning 401k. I could be that you can take a distribution without penalty because you are unemployed. This is an area that takes a sharp pencil and some thinking before you act. Good luck
