The Australian, who is ranked 38th in the world, responded by saying he did not care, before adding: “You have no right to tell me it’s poor.”
It was the first of a number of exchanges between the pair about Dumusois’ initial comment.
At another moment Kyrgios served an ace past Klahn and asked Dumusois: “Was that borderline poor?”
He later said to the umpire: “You know I literally could just go to the ATP office after this and say I just felt put down from your comment and you’d be in trouble, right?
“I could literally just say I couldn’t play after that because I just felt put down. You realise that, right? I’m not going to do it, but I’m just saying.”
Last month umpire Mohamed Lahyani was suspended from his next two scheduled tournaments after trying to encourage Kyrgios during a match at the US Open.
Lahyani took the unusual step of climbing down from his chair and having a lengthy chat with Kyrgios when he was showing little effort as he trailed by a set and 3-0 down against against Pierre-Hugues Herbert.