The pair clashed after Kessie was substituted.
Kessie stated: “At such a moment in the game, mistakes can happen.
“I was feeling the tension of the game and I wanted to win. When I was subbed off I let myself go with Lucas, but I've shaken his hand since.
“We've clarified things. I apologise to the fans and club. These 10 minutes of tension mustn't affect our season."