Per Yahoo Sports' Terez A. Paylor, the Chiefs "remain interested" in giving Hill an extension, but "both sides need to work through some things and there are questions that need to be answered as it relates to his personal life going forward."
Hill had been under investigation since March when police were called to his house on two separate occasions to investigate potential abuse and battery of Hill's three-year-old son.
Hill's attorney, Trey Pettlon, told Laura Bauer and Brooke Pryor of the Kansas City Star last month the case against his client had been "closed for quite some time now."
Prior to the criminal investigation against Hill, NFL Network's Ian Rapoport reported the Chiefs started negotiations with the three-time Pro Bowler on a "record-setting deal."
Paylor reported on June 28 the Chiefs and Hill's representatives could sit down to talk about an extension "in the not-too-distant future" if he was cleared by the NFL and was back with the team by the start of training camp.
Hill figures to be back on the field when Kansas City reports to camp on July 26.