Emergency Unemployment Compensation Amendments of 2004 - Amends the Temporary Extended Unemployment Compensation Act of 2002 (TEUCA) to extend the TEUC program through weeks of unemployment ending before June 30, 2004. Terminates individual payments for weeks beginning after September 30, 2004.
Revises trigger requirements for determining high-unemployment States (TEUC-X), where individuals are eligible to receive additional weeks of program payments.
Provides for temporary State authority to waive application of certain look-back provisions under the Federal-State Extended Unemployment Compensation Act of 1970.