However, according to ESPN.com's Jeremy Fowler, some Pittsburgh players say missing games would be the appropriate discipline for the seventh-year linebacker.
Brown caught a pass over the middle and was tackled by two Bengals defenders when Burfict flew in with his right elbow, connecting with Brown's upper body/head area.
"It's tough to see AB get hit like that", he said.
After the game, Brown called the play a "nasty hit". "I said, 'Hey, listen, it's good to have you back out here [after the suspension].' He got all feisty and wanted to fight".
Burfict, who served a season-opening four-game suspension for violating the league's substance-abuse policy, hasn't played more than 11 games in a season since 2013.
There's definitely some bad blood between Smith-Schuster and Burfict.
"Dropping f-bombs, everything. Burfict was out there lying, saying I spit on him which I didn't", Smith-Schuster said. "You could just see it with the talking, the pushing and shoving, the tackling, the extra stuff". "With all the emphasis on quarterback safety, what about a guy like AB - a superstar he is in this league, how much money he's getting paid, how much he means to this team?"
It left one player thinking maybe the National Football League should consider increasing rules about hitting players who aren't quarterbacks. A cheap shot like that, I thought was unnecessary. If they want to talk about making this game safer, maybe they will do something. "Maybe it's a PR stunt". "The dude just plays football". I think there's no place for that behavior.
The backlash from last week's game against the Cincinnati Bengals continues to come in.
There's definitely some bad blood between these two teams and it's only going to boil over between now and when they play each other again in Week 17.