Albert Breer of The MMQB also reported the league plans on enforcing the suspension immediately, once Dallas is off it's Week 6 bye.
Three years ago, the National Football League stiffened its domestic violence policy with the six-game standard and more investigative power. Dallas next plays October 22 in San Francisco.
The appeals court ruled that Elliott and the NFLPA had not exhausted all available options when it asked for the preliminary injunction in a Texas court before the league ruled on Elliott's suspension.
Elliott would miss games against the 49ers, Washington Redskins, Kansas City Chiefs, Atlanta Falcons, Philadelphia Eagles and Los Angeles Chargers if the suspension, which is without pay, stands and is enforced from this point forward.
The ruling came after oral arguments were conducted last week in New Orleans before a three-judge panel of the court. The NFL players' union sued on Elliott's behalf.
Goodell suspended Elliott after a year-long investigation into domestic violence accusations made by his former girlfriend, Tiffany Thompson.
When the union filed its case in defense of Elliott in Texas, the N.F.L. filed a separate motion in the Southern District of NY, where it argued that that court was the appropriate venue for the league and players to settle their disputes.
Elliott was not present at that hearing.
Elliott, the league's leading rusher last season as a rookie, has totaled 393 rushing yards in five games this season.