Sandra Ávila Beltrán said that the prison system can only be bought from the top.
The process still awaits approval of Mexico's foreign ministry.
Se trata de uno de los proyectos que alista la televisora en Estados Unidos
Univision reported that the former beauty queen met him last Friday.
The "amparo" argues that the drug lord was isolated during his transfer from El Altiplano, in the State of Mexico, to the Federal Social Rehabilitation Center No. 9 in Ciudad Juárez.
Guzmán's lawyers have confirmed that the actress has the rights to make a movie about the drug lord.
The actress hopes that it will give her a better access to the famed drug lord.
The Ministry of Foreign Affairs will see that it complies with all requirements.
The first accusation against El Chapo dates back to 1990, when he began smuggling drugs and money in airplanes through the company Aero Ejecutivos Poblanos.
But the Cefereso No. 9 did score well on "conditions of governability."