Amends the Temporary Extended Unemployment Compensation Act of 2002 (TEUCA) to provide: (1) additional weeks of benefits for those who have exhausted theirs; and (2) a temporary extension of the TEUC program.Provides another allotment of benefits, equal to their original entitlement, to TEUC recipients who exhaust their first tier benefits (13 weeks in every State) or their second tier benefits (additional 13 weeks in high-unemployment States).Extends the TEUC program to weeks of unemployment ending before January 1, 2004.