Suarez has been back in the headlines for the wrong reasons again this week when he admitted to an act of simulation in a game against Stoke earlier this season.
The Uruguay international's confession has landed him in hot water with Rodgers, but the Reds manager reckons the player's previous misdemeanours leave him open to hostile press.
Rodgers said: "He has been a topic for people, particular for the media, because of his great moments of football and things which have happened off the pitch.
"The majority of this season has been based around his performances on the field, in which he has shown the true top player he is.
"In fairness to Luis he has knocked on my door and actually apologised as well.
"He got booked in a game (against Southampton) where he instinctively handled the ball and the very next day he came in and apologised for it. It is instinctive with him. That is the type of player he is.
"He is not malicious, it is just his nature. He is a sensitive boy as well and he seems to cope remarkably well with everything.
"He will always be a topic for conversation but that's because he's a top player."
Rodgers has promised to deal with the Suarez situation and added: "I think it is wrong. It is unacceptable. I have spoken to Luis and it will be dealt with internally.
"It is not something we advocate. Our ethics are correct."
In the extensive interview with Fox Sports Argentina the Liverpool forward repeated claims that he is treated differently by the media because of his South American background.