ESPN's Adam Schefter recently appeared on SiriusXM Fantasy Sports radio, where he said he would be "hesitant" to draft Elliott early in fantasy football drafts because of the uncertainty surrounding the findings of the NFL's investigation.
League sources "got a sense that some form of discipline could happen," according to the report.
Elliott was an All-Pro and the NFL rushing champion in 2016, his rookie season for the Cowboys. He plowed for 1,631 yards and 15 scores on the ground.
The Ohio State product was accused of domestic violence last July, but was later cleared in that investigation as the Columbus City Attorney's office opted not to pursue criminal charges after reviewing the evidence.
The same woman who accused Elliott of domestic violence in that case later accused him of additional domestic violence in February of 2016.
Some league sources also Schefter that they "don't think anything" will happen in relation to Elliott seeing discipline. Sources believed a decision would come before the July 4th weekend, but it is being "pushed back" and there will not "be an answer here for a little while," according to the report.
Elliott's team and the league and/or the NFLPA and the NFL have met several times, according to the report.
USA Today reported in June that the NFLPA turned over phone records and additional documents for the NFL's investigation into Elliott.
While Elliott recently told the Dallas Morning News he is "staying out of the way" and laying low, he wasn't doing that earlier this offseason.
In March, the 21-year-old pulled down a woman's shirt and exposed her breast in public during a St. Patrick's Day parade in Dallas.
Following the incident, Cowboys owner Jerry Jones did not sound pleased.
"There is not much that I want to say other than that was unfortunate and not good,'' Jones told the Morning News. "It wouldn't be the right emphasis one way or the other to get into any communications or dialogue since that happened.''
"I wouldn't want to say on communication, but I'm aware of the incident and I'm aware of the criticism.''
Elliott was not arrested in February or July. He was recently named the No. 7 player in the league on the NFL's Top 100 players of 2017.
There is an argument to be made for Elliott as the No. 1 pick in your fantasy football draft this season, but not enough is known yet for that to be a smart decision. With uncertainty looming regarding his availability, both Le'Veon Bell and David Johnson are safer options at running back at this point.