Vilma's lawyers filed the notice with U.S. District Judge Helen G. Berrigan in federal court on Wednesday, according to WWL-TV.
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Following an investigation by the NFL, Vilma was suspended for the 2012 season for his role in the Saints' "bounty" program from 2009 to 2011.
Vilma then sued Goodell for defamation, claiming that the commissioner damaged his reputation and his ability to earn a living. Goodell has until July 5 to respond to the allegations.