The Saints coach returned to work Wednesday following a nearly yearlong suspension for his role in the team's bounty program with some catching up to do.
Before last year's game in Indianapolis, the AFC champion Patriots arrived first, followed a day later by the NFC champion Giants.
The decision allows Sean Payton to attend the Senior Bowl in Mobile on Saturday where some of the top college players available for the draft will be competing.
Former LSU star Tyrann "Honey Badger" Mathieu is attempting to repair his image and convince NFL teams that he has changed his ways.
Vilma had argued that Goodell made false statements, tarnishing the player's reputation, in connection with the league's investigation of what it determined was a system that offered cash bonuses to Saints players for big hits from 2009-11.
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