Suarez has been caught up in something of a media furore in recent weeks for his theatrical antics in the penalty area, but was denied what appeared to be a clear penalty during the Reds' 5-2 win at Norwich City.
The Uruguayan was perhaps more conspicuous in his attempts to win a spot-kick during Sunday's clash with Stoke, however, as he threw himself to the floor with clear daylight separating him from defender Marc Wilson and midfielder Steven N'Zonzi.
|PREMIER LEAGUE LATEST
|50/1||Stoke are 22/1 with Bet365 to beat Manchester United 1-0 a week on Saturday
Kightly told Stoke-based paper The Sentinel: "When you get a little touch and he is screaming like he has broken his leg you do think 'is he hurt?' but nine times out of 10, he's not.
"It is something we are trying to get out of the game. Referees have to try to stamp down on it. There is a difference between winning a penalty and just diving."
Kightly admits there are occasions when players can judge when a tackle is coming in on them, but considers behaviour like that of Suarez to be cheating.
He added:"Sometimes players know a tackle is coming in and ride it and go down. That's good play, winning a penalty.
"But sometimes, when you just dive with no touch at all, that's not good for the game."