The incident occurred when Davis flailed his arms and fell to the floor after getting bumped by Rockets center Dwight Howard with just over a minute remaining in the second quarter.
"I don't care; as long as we get away with it, I'm fine," Clippers coach Doc Rivers said. "I want them to catch Corey Brewer every time he does it. There's been some [flopping in this series]. No doubt."
The Clippers went on to win the game 124-99 and now have a 2-1 lead in the series.