"We consider the tapes of our coaching staff during our games against the New England Patriots to be a non-issue," Rooney said in a statement. "In our opinion, they had no impact on the results of those games."
NFL Commissioner Roger Goodell fined Belichick $500,000 and the Patriots $250,000 and docked the team a first-round draft pick.
Specter has criticized Goodell for destroying the tapes after the league's internal investigation.
"We are confident that the commissioner has taken appropriate action in his investigation of this matter, and will do so again if new information arises which requires further investigation and/or discipline," Rooney said.
Copyright 2008 by The Associated Press