Elliott sat out the first game of his suspension in Sunday's 27-7 loss to the Atlanta Falcons.
The union (NFLPA) had previously asked the court to block the start of the suspension until it considers its request to overturn a lower-court ruling on the grounds that Elliott's career will be irreparably harmed if his suspension begins now.
"Mr. Elliott's desire for closure in this matter is in his best interest, as well as the best interests of his teammates, family and friends", lawyers Rocky Arceneaux and Frank Salzano said in a statement to the NFL Network. However, the Second Circuit court did leave a small door open for Elliott to possibly continue his appeal.
He'll be available for the final two games of the season, beginning on Christmas Eve against the Seattle Seahawks and then a rematch with the Eagles on New Year's Eve.
The statement also says it's not an admission of any wrongdoing.
On Wednesday, Elliott continued to maintain that he did not attack his accuser, Tiffany Thompson.
Since the National Football League announced the suspension on August 11, the Cowboys have known that at some point - either at the start of the season, middle of the season, end of the season or even next season - their lead running back would miss time. Elliott's appeal had been set for December 1st, which meant he would miss a minimum of four games, but we don't have to worry about that now.
He was on pace for another Pro Bowl caliber campaign, as he now ranks third in the league with 783 rushing yards while being tied for first with seven rushing touchdowns and second among skill-position players with nine total touchdowns in just eight games played.
Initially, Elliott won an injunction allowing him to keep playing through the beginning of the Cowboys' season based on National Football League arbitrator Harold Henderson's decision to keep Goodell and Elliott's accuser from testifying at his National Football League appeal. In his absence, the Cowboys will go with a committee at running back with Alfred Morris, Rod Smith and Darren McFadden.