On Friday, Henderson denied the NFL Players Association's request to make Tiffany Thompson available and make the notes of the league's investigators and the Columbus authorities available.
"Well, I don't want to speculate about that at all", Jones said.
After the hearing Tuesday, both sides will have to file final arguments by September 1, which could create some issues with Elliott's spot on the Cowboys' roster since final cuts come September 2.
Harold Henderson has been appointed by National Football League commissioner Roger Goodell to hear the appeal. For instance, he reduced the suspension for former Cowboys defensive end Greg Hardy from 10 games to four back in 2015, but upheld Adrian Peterson's indefinite suspension the year before.
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Jones said the Cowboys would not make a filing on Elliott's behalf prior to the hearing, but the team will have a representative in NY.
"Harold is a really great friend of mine", Jones told the Star-Telegram. "He was at my ($16-million Hall of Fame) party and so you weren't at that party unless you were a good friend ..."
Asked if that was a yes, he replied, "I don't know". He's very competent, but the main thing is he's a guy that I admire a lot.
Garrett said the plan would be to give Elliott a similar number of snaps that he had in last year's dress rehearsal game against Seattle. He's come through it the hard way. While we can anticipate the continued development of quarterback Dak Prescott and properly credit the Cowboys' superb offensive line, it shouldn't be taken for granted that the Cowboys will successfully navigate their first six games if Elliott's appeal fails and he does not get an injunction from the court that would allow him to play.
Elliott had six games for 18 yards and caught two passes for six years in one series of work.