The Liverpool manager has defended the Uruguay international at regular intervals this season after the 25-year-old faced accusations of simulation.
However, in an interview with Fox Sports Argentina, Suárez admitted to diving in a goalless draw with Stoke City earlier in the season.
And a furious Rodgers blasted Suárez for his comments on Thursday, with the Northern Irishman insisting that Liverpool would not accept such behaviour.
“I think it is wrong. It is unacceptable. I have spoken to Luis and it will be dealt with internally,” he said.
“[Diving] is not something we advocate. Our ethics are correct.”
Stoke City manager Tony Pulis criticised Suárez for diving immediately following the goalless draw at Anfield in October, calling for the FA to ban the South American after referee Lee Mason failed to caution the striker.
And in the controversial interview, Suárez admitted to “failing to the ground” as he tried to win a penalty in the dying moments.
“Football is like that,” said Suárez. “Sometimes you do things on the field that later you think ‘why the hell did I do that?’
“I was accused of falling inside the box in a match, and it’s true I did it that time, because we were drawing against Stoke at home and we needed anything to win it.
“But after that everybody jumped out to talk – the Stoke coach, and the Everton coach… I understood that the name Suárez sells [papers].”
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