UNEMPLOYMENT INSURANCE - UNION HEARING

Employee is a union member who is terminated. The union requests an arbitration and has an attorney for employee. In the meanwhile, employee has applied for unemployment insurance benefits and is denied for either misconduct or voluntary separation, etc. A hearing is requested by employee but the hearing is scheduled before the arbitration. Should the employee go ahead with the hearing prior to the arbitration? My initial suggestion would be to adjourn the hearing until the arbitration lawyer is at least consulted with. You would want to make sure with your arbitration attorney that nothing you do or say in the unemployment insurance hearing conflicts with your rights under the pending arbitration - or issues like collateral estoppel, res judicata, etc. But on the other hand, you are not receiving any money. I would like to hear from others on this.