The Uruguayan is just two bookings away from a one-match suspension and, though his manager has hailed his desire, he admits the 25-year-old may need to control his emotionsLiverpool manager Brendan Rodgers has insisted he does not want Luis Suarez to change his style, but admits he must be careful over his discipline.
The Uruguayan scored the Reds' equalizer against Sunderland on Saturday as they earned a point but also picked up a booking for a needless dive in the Mackems' area.
Two more yellow cards would see the 25-year-old suspended for one league game and, though Rodgers praised the desire shown by the striker, he conceded his star man must show more control.
"He is an emotional guy, he runs on emotion, as some players do," he told Sky Sports.
He added, "That is part of what makes him and he is on to three now so he'll have to be careful. You are always trying to educate players and talk to them.
"I have no complaints, I read from the outside all these reports about Luis Suarez but he has been an absolute pleasure to work with from the first day I came in here and he is a good guy who works very hard every day and gets his rewards on the field."
The Northern Irishman went on to praise 17-year-old winger Raheem Sterling, who provided the cross which resulted in Suarez's goal.
The winger recently earned an England call up after impressing since breaking into the Merseyside outfit's first team, but Rodgers is committed to keeping the youngster's feet on the ground.
"I am sure it is difficult for him to take it all," he explained. "You get a lot of adulation for playing well but him and I communicate which is part of me trying to keep him level-headed and making sure the whole situation does not distort his reality.
"The reality is he is an exceptional talent, we want to nurture and make sure he is around for many years, not just for a few months and he is a good kid, he is a good listener which is important, he is a really, really good lad.
"It is our job to manage him and manage the expectation and just let him concentrate on his football.
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