It has been brought to my attention that it makes a difference if you contributed to your 401K, or if only your employer contributed. Here is the statute from New Jersey,
and Please....DO NOT ACCEPT THIS ANSWER YOU HAVE ALREADY PAID, AND I DO NOT WANT YOU TO BE CHARGED AGAIN.
It is our goal at justanswer to give the best possible information that we can. I still believe you will need to call, but here is the statute.
The State of New Jersey Department of Labor and Workforce answer that very question on their website as follows:
"If you are eligible to receive a pension from an employer that is included on your unemployment claim, the benefits may be reduced. The term "pension" includes benefits paid in a lump sum, such as 401K, as well as pensions that are paid on a monthly basis. If you have applied, received or expect to receive a pension, a claims examiner appointment will be scheduled to discuss the pension. If you contributed the entire cost of your pension, your unemployment benefits will not be reduced. If you and your employer contributed to the pension, 50% of your the weekly pension amount will be subtracted from your unemployment benefits. If your employer contributed the entire cost of your pension, your unemployment benefits will be reduced by 100% of your weekly pension amount."