A hearing is scheduled for Friday in Miami in front of U.S. District Judge Kathleen Williams.
Puig is being sued for $12 million in an action that alleges he wrongfully accused the man, Miguel Angel Corbacho Daudinot, of attempting to set up a prior defection from his native Cuba. The plaintiff was sentenced to seven years in jail as a result of Puig's testimony.
The suit has been filed in the United States under the Torture Victims Protection Act, a piece of human rights legislation signed by President George H.W. Bush in 1992.
Puig's attorneys say Daudinot's allegations aren't sufficient under U.S. law.
Information from the Associated Press was used in this report.