According to a Washington Post report, a player involved in an act of domestic violence could receive an automatic four- to six-game suspension as part of a new policy. A second offense would draw a one-year banishment.
Rice was suspended for two games by the NFL after a incident in February when the Baltimore Ravens running back's then-fiancee was knocked unconscious. Rice was ordered to complete a court diversion program and returned to the team in May. The two are now married.
Since then, the NFL has received extensive criticism for its actions. The Post indicated that the new penalties could be announced in the next few weeks.
"We have a very firm policy that domestic violence is not acceptable in the NFL," Goodell said earlier this month. "I think what's important here is Ray is taking responsibility. He's been accountable for his actions."
The NFL did not comment on the Post story.