Unemployment insurance is paid by your employer to compensate you if business conditions are such that they can no longer keep you on the payroll. If you are unable to work, that's not what the insurance is for.
HOWEVER, the current unemployment situation has become such a fluid thing with Congress passing so many new laws, I would advise you not to take my opinion as the final word. Contact the US Department of Labor at the link below and get your answer from the people who oversee unemployment benefits or ask your local unemployment office.
http://www.dol.gov/dol/contact/contact-email.htm
Answered Aug 04, 2010
Edited Aug 04, 2010