The striker admitted that he had "invented a foul" against Stoke City with the scores level at 1-1 in a game they went on to lose 3-1 but added that the media make things up about him to sell papers.
However, Rodgers has deemed these comments inappropriate, stating that the diving is not in line with the club's ethics and that Suarez has apologised "numerous times".
The Reds boss told reporters: "[Diving] is not something we advocate. Our ethics are correct.
|28/1||Luis Suarez is 28/1 with PaddyPower to score the first goal in a 4-0 win over Norwich City
Suarez had told Fox Sports Argentina: "I don't listen all the nonsense some people say about me. I'm accused of cheating here. People say I throw myself all the time inside the box.
"Let's see: they said that when we played against Stoke, for instance, and in that case they were right. I invented a foul because we were drawing 1-1 against Stoke and I wanted to win.
"Sometimes on the pitch I say to myself: 'What have I done?' But the name of Suarez sells papers.
"The other day, for instance, I touched the ball with my hand accidentally, and I was criticised because I kissed my hand.
"The media make up a lot of things about me because they want to sell papers. I say to the media: You should talk more about football, not about other stuff."