Gerrard has been on the receiving end of cruel chants over the mistake against Chelsea that may have cost him his dream of winning the Premier League.
"Steven probably takes the songs as a huge compliment, and he should do," said Rodgers. "With someone of that greatness and ability, it's just unfortunate what happened to him. But it could have happened to anyone.
"It would be more unfortunate if the referee's decision at Manchester City, when I got fined £8,000, might define the season. Sterling was clearly onside and in on goal.
"It's the only time in my life I've been fined. I knew at that time it might be significant. So that might define our season. It won't be Stevie's slip."
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