In November, ESPN reported that a person close to Elliott was informed that league investigators were considering him their "Public Enemy No. 1".
Mike Fisher of 105.3 The Fan in Dallas reports the decision will be announced on Friday. Six games would be a big blow to Elliott's fantasy stock.
Any suspension surrounding Elliott would have wide-ranging ramifications for the Cowboys.
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The NFL reportedly is looking into an "accumulation of behaviors" involving Elliott, who led the NFL in rushing yards and attempts during his rookie season in 2016.
Elliott remains under investigation by the National Football League for a July 2016 domestic violence allegation made by a 20-year-old woman in Columbus, Ohio, per TMZ.
Elliott has also been accused of pushing Thompson up against a wall and injuring her shoulder five months earlier in Florida. No charges were brought in that case, as well. And in July, he was involved in an altercation at a Dallas nightclub during which a DJ's nose was broken.
Police in OH investigated and did not file charges.