Jeffrey Lichtman, one of the lawyers on Guzman's defence team, called the prosecution's response, due Thursday, "literally hysterical."
The high-profile prisoner has had no prison infractions since his arrest, he said, "yet now, by simply asking for some bottled water and some fresh air he is accused of plotting a daring prison escape despite zero supporting evidence."
In February, federal prosecutors secured a conviction against the Sinaloa Cartel boss for running the drug trafficking enterprise. During the three-month trial, witnesses - including his former bodyguard - testified about horrific murders both ordered and carried out by Guzmán. On one occasion, he allegedly shot a rival cartel member and then buried the victim alive.
Guzmán, 61, faces multiple life sentences; he will be sentenced in federal court on June 25.
Until then, the US government requested Guzman be held in restrictive detention.
"I expect the Bureau of Prisons would be concerned about El Chapo's communication access; his phone calls, email access and letters are likely to be more closely monitored than the average prison there for federal drug possession," Deborah Golden, staff attorney at the Human Rights Defense Center, told The Washington Post in February. Indeed, Guzman's conviction led to widespread speculation he would be housed at ADX, the administrative super-maximum prison in Florence, Colorado.
Guzmán's requests are being scrutinised because he has broken out of prisons in the past. He escaped from two maximum-security Mexican prisons - in 2001 with the assistance of prison guards and in 2015 through a tunnel underneath the shower in his jail cell.
"An escape via rooftop, using a helicopter, or any related means would be elementary by comparison," the prosecutor wrote in his response to the court. Adding to the US government's concern is the unsuccessful, attempted jailbreak in 1981, where an inmate arranged a helicopter escape from the recreation area of a Lower Manhattan prison.
The defence has a week to reply.
Guzman is not permitted to have unmonitored phone calls or receive mail, Lichtman said, and his attorneys are the only people he can communicate with.
"Because an inmate once attempted to escape the MCC 30 years ago via helicopter, Joaquin Guzman is planning the same?" he quipped on Saturday. "Which one of his lawyers passed the message to his co-conspirators to plan this escape?"