The argument was made Tuesday in a filing with the Minnesota Court of Appeals. It is another step in the players' long legal battle against their four-game suspensions for violating the NFL's anti-doping policy. They tested positive for a banned diuretic in 2008.
Hennepin County Judge Gary Larson ruled in April that the NFL violated the three-day notice requirement in a Minnesota law on drug testing. But he said the Williamses had not been harmed by the violation.
Their attorneys say that ruling allows the NFL to benefit from violating the players' rights.
The Court of Appeals earlier rejected the NFL's request to expedite the case, so the defensive tackles may get to play the entire 2010 season.