With Chelsea leading 2-1, Suarez bit the arm of Blues defender Ivanovic as the two tussled for a ball in the Blues box. The incident was missed by the match officials, but video replays clearly showed the Uruguayan lean into the Serbian before biting into his arm.
Suarez went on to equalise deep into stoppage time – clearly though he should not have been on the pitch.
“The only comment at this stage is that we’ll review the video of it and make a comment,” Rodgers said afterwards in a Sky TV interview. “I’ve only come straight after the game but once we have a look at that we will move from there.
“Until you review it you can’t say anything. There were a couple of incidents, like the elbow on Jamie Carragher in the first half.
“I’ve no thoughts other than it was a terrific second-half performance where we had to dig deep.”
But later in the press conference - where he declined to be shown an image of the bite - he said: "Players are always replaceable, no matter how good they think they are. This club is about respect. It will be maintained.
"I hear all sorts of what has supposedly happened but I'll go away, review it and comment later. We'll go away and speak to [owners Fenway Sports Group] afterwards and take it from there.
"This is a club with incredible values and ethics here. As footballers, managers and staff we are representing this great club on and off the field.
"I will always speak openly and honestly about the players and protect them when I can and if I think they are wrong I will tell them - as I have already happened this season with Luis [when the striker admitted to diving].
"People have to accept it when they do wrong if that's what the case is. They have to accept the consequences accordingly. It's disappointing that we are not talking about the football."
While Rodgers’s response was unsurprising, interim Chelsea boss Benitez was tight-lipped on the incident, tersely saying he did not see it and instead preferring to focus on the decision to play six minutes of injury time, at the end of which Suarez netted the equaliser.
“I didn’t see anything. I haven’t seen the incident,” the ex-Liverpool boss said.
“Talking about football, we had the game nearly won. I’m surprised at the six minutes injury time.
“The rules are very clear, you make six substitutions and there are three minutes. Sometimes you have four minutes, but six is very unusual, and six minutes 45?”
Suarez has been in trouble for biting opponents before, having been banned for seven matches after an incident while he was Ajax, while he is being investigate by South American's federation for punching Chile's Gonzalo Jara in an international match.
He was also suspended for eight matches last season for racially abusing Manchester United defender Patrice Evra, a charge he admitted but claimed was unfairly punished for because of United's "political power" in English football.
The result leaves Chelsea fourth in the Premier League, one point ahead of Tottenham and one behind Arsenal, who have played one game more.
Liverpool sit seventh, 10 points behind the race for a top-four place.