Morrison said if a player was threatened with the possibility of being suspended for a match like the World Cup final, they would immediately rein in their behaviour.
During the past two months, 12 players were cited by the International Cricket Council for breaches of their code of conduct and the punishments largely included fines, while some got only a warning.
Australia and India have pushed the boundaries around competing within the laws of the game throughout the summer.
This is despite some Australian players saying they would look to uphold the spirit of cricket following the death of batsman Phillip Hughes.
The Black Caps and Sri Lanka have enjoyed good-natured competition during their series but NZ seamer Tim Southee said sledging was commonplace in the game.
"It's getting a bit boring. There's a place for it but there seems to be a little too much [at the moment].
"Warner is a player who thrives on it, so it's probably best not to chip at him. He's playing some amazing cricket and batting like a genius so you do everything you can to make him feel uncomfortable.
"If it's in you, it's in you, if you need to get in the battle and contest, but those days are gone for me I think."
Warner's conduct this summer prompted Crowe to label him "the worst culprit" of sledging.
Crowe's latest column on website ESPN cricinfo said those in charge needed to clamp down on sledging before violence marred a match.
He suggested a yellow-card system should provide suspensions for those who flouted the rules.
"Fining these serial offenders is not going to work. You have to take them out of the game for extended periods," Crowe wrote. "Two yellow cards should result in a red card" and a six-month ban. "This is the only way it will be dealt with. My concern in the immediate future will be that Warner will be in the centre of an ugly on-field fight during the upcoming World Cup."
