Story highlights Joaquin "El Chapo" Guzman has asked to speed up the extradition process, an official says

The expectation is he'll be out of Mexico and in the United States within 3 months, says the source

The notorious drug kingpin has twice escaped Mexican prisons

(CNN) Drug lord Joaquin "El Chapo" Guzman not only wants to be extradited from Mexico to the United States -- he wants to go sooner rather than later.

The defense team for the notorious criminal , and two-time prison escapee, has asked to speed up the process to get him out of Mexican custody and into the hands of U.S. authorities, a senior Mexican law enforcement official told CNN on Wednesday.

While it's not clear where Guzman might end up in the United States (he faces a litany of charges in various cities, like Chicago and New York ), the Mexican official predicted he'll be there within the next two to three months.

The same source had said in January that the process would take between six months and a year.

Guzman's push to go to the United States marks a sharp turnaround from what his lawyers said immediately after he was recaptured in January , when they filed an injunction to fight any such request.

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