Guzman was arrested Saturday morning in the resort city of Mazatlan, Mexico.
Republican Michael McCaul calls Guzman the world's most notorious drug lord and says on ABC's "This Week" that his arrest is a significant victory for Mexico and the United States.
Guzman faces at least seven federal indictments.
McCaul said it's Mexico's call on where Guzman faces prosecution, but he noted that Guzman escaped from prison in 2001 and corruption continues to plague Mexico.
McCaul says Guzman would end up "in a super-max prison" in the U.S. from which he could not escape.