The incident occurred in the third quarter of the Heat's 90-89 victory over the Raptors at Air Canada Centre in Toronto as Miami extended their winning streak to five games.
Also, Raptors guard DeMar DeRozan was fined $25,000 and Miami guard Goran Dragic was docked $10,000 for a verbal altercation shortly after the game concluded.
"It's been a rough stretch for us", said Lue, whose team has played eight of its past 10 games on the road.
The Cavs escaped a big loss themselves on Wednesday, when returning point guard Isaiah Thomas was fined - as opposed to getting suspended - for a rather blatant clothesline on Minnesota Timberwolves forward Andrew Wiggins on Tuesday. "He had some soreness in his foot or whatever".
The Heat and Raptors could received discipline from the National Basketball Association for the altercations. "I would say it is more by whatever means necessary is the way Coach Riley looks at it".
Yet amazingly, the Raptors wore down the Heat and actually stuck their nose in front by a point with 3.1 seconds to play. He sees things when they need to be called.
-Wayne Ellington came through in the clutch for the second straight game.
They may not be pretty on the eye or the most fun team to watch on a nightly basis but they get wins and that's all that matters in this league. "We get in three in the morning, doesn't matter".
"He must have thought I was trying to hit him or something after I shot the [final] shot, but I don't know", DeRozan told reporters in his postgame comments. "Through the draft, through free agency through trade and then this summer, bringing a team back that we felt that we could build with and grow, from a group largely overlooked or outcasts".
Spoelstra has found a way for them to be successful and it's time for their rivals to take notice of them as they're only going to get better. You put yourself in a position where it started way before that.