Yes.  You don't lose your unemployment benefit by signing.  You lose the right to sue them.  The unemployment insurance system is separate.  However, if you are uncomfortable with signing it, then write in the margin or have them modify it to read: "full and final release in settlement of any and all claims or charges relating to your employment and separation, with the exception of unemployment insurance benefits and claims."But, even if you sign it the way it is, you should be fine.