Guzmán's attorney Juan Pablo Badillo has said the defense has already filed six motions to challenge extradition requests.
The U.S. authorities want him for crimes in their jurisdiction.
A Rolling Stone spokeswoman did not immediately return requests for comment.
"One thing I will tell you is that this braggadocious action about how much heroin he sends around the world, including the United States, is maddening," White House chief of staff Denis McDonough said on CNN's "State of the Union."
In October 2015 the Mexican actress had her first meeting with Joaquín "El Chapo" Guzmán to talk about his life.
They were onto him in October, but aborted because he was with women and children.
Actors Sean Penn and Kate del Castillo interviewed the famed drug dealer.
Vice-President Juan Alfonso Fuentes Soria sees a change coming.
According to Attorney General Arely Gómez his interest in a biographical movie helped to arrest him.
The Justice Department confirmed that a previous request to extradite the kingpin to the United States still stands.