Temporary Duty Suspension Process Act of 2013 - Directs the U.S. International Trade Commission (USITC) to establish a process in which it will: (1) review each article in which a temporary duty suspension or reduction has been recommended at its own initiative or pursuant to a petition, and (2) submit a draft bill to the appropriate congressional committees containing each duty suspension or reduction that meets certain requirements.

Requires the USITC to report to Congress on: (1) recommendations with respect to sectors of the U.S. economy that could benefit from duty suspensions or reductions without causing harm to other domestic interests, and (2) the feasibility of suspending or reducing duties on a sectoral basis rather than on individual articles.