Supplemental Nutrition Assistance Program for the Jobless Act of 2010 - Amends the Recovery and Reinvestment Act of 2009 to provide that: (1) through September 30, 2011, eligibility for supplemental nutrition assistance program (formerly the food stamp program) benefits shall not be limited by certain work-related provisions unless an individual does not comply with specified state work program provisions; and (2) beginning on October 1, 2010, with respect to such work-related provisions, a state agency shall disregard any period during which an individual received supplemental nutrition assistance program benefits prior to October 1, 2011.