House Homeland Security Chairman Michael McCaul said Sunday that extraditing such a high profile suspect before he was tried in Mexico would be unusual, but such an exception might be warranted in this case.
"I think the concern is the fact that he's already broken out of prison once," the Texas Republican said on ABC's "This Week."
McCaul said he worried that corruption and Guzman's status as one of the most powerful and feared men in Mexico could lead to a short-lived prison stay.
"This is great victory for both Mexico and the United States," McCaul said. "It signifies a new era in our cooperation. But I would argue the extradition would continue that cooperation."
Whatever the final decision, Vigil said it's not likely to be made quickly.
"It goes through a lot of legal reviews, and then obviously Chapo Guzman is going to have some of the best attorneys in Mexico and will try to impede the effort," Vigil said. "It's not going to be overnight."
Associated Press writer Larry Neumeister in New York, Pete Yost in Washington and Katherine Corcoran in Mexico City contributed to this report.
Follow Alicia A. Caldwell on Twitter: www.twitter.com/acaldwellap.