Schefter added that the NFL's inquest isn't completed but that it is nearing the latter stages.
Per TMZ, a 20-year-old woman told police Elliott assaulted her last year in Columbus, Ohio.
She was identified as his girlfriend at that time and alleged that Elliott attacked her while they were sitting in her car.
Four witnesses said they didn't see an assault take place, and the running back did not face charges due to "conflicting and inconsistent information," according to ESPN.com's Jean-Jacques Taylor.
Elliott is set to enter his second NFL season after a dominant rookie campaign in 2016.
He burst onto the scene with an NFL-leading 1,631 rushing yards to go along with 15 rushing touchdowns and 32 receptions for 363 yards and one touchdown through the air.
Elliott was named to the Pro Bowl and the All-Pro First Team for his efforts.