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Hernandez is wanted by a Texas court on charges of conspiracy, banking fraud and using a series of shell companies to launder money during his time as governor of the northern border state of Tamaulipas, from 2005 to 2010.
The ex-governor, who can still appeal the decision, allegedly operated a dodgy wire transfer business. In Mexico, he faces separate embezzlement and corruption charges.
Hernandez is one of seven ex-governors from the ruling Institutional Revolutionary Party (PRI) who are currently in jail in Mexico or elsewhere.
The scandals have badly damaged the party heading into a July 1 presidential election.