Jamie Carragher has accused Fernando Torres of 'not giving his best' for Liverpool ahead of his transfer to Chelsea, and does not believe Luis Suarez would consider doing the same as the ex-Red.
Torres joined Chelsea for a British record £50 million in the January transfer window of 2011, having endured a difficult six months at Liverpool under Roy Hodgson after returning from World Cup glory.
The Spain international handed in a transfer request after learning of the interest from Chelsea and, having initially rejected his plea, Liverpool succumbed and allowed him to move to Stamford Bridge.
Liverpool may be forced to follow a similar path with Suarez, who has outlined his desire to leave Anfield have become disillusioned with his treatment from the English press and football authorities.
The Uruguay international has been linked with a transfer to Real Madrid before the deadline in September but Carragher, who retired at the end of last season, does not expect Suarez to cause Liverpool any unnecessary trouble.
"I do believe that Suarez is a slightly different character to Fernando Torres," said Carragher at a Sky TV event.
"The thing about keeping unhappy players is an issue because we had that experience with Torres and keeping him wasn't the right thing to do. Torres wasn't the same player for about 18 months and that's certainly what you don't want.
"There were times, I believe, when Torres wasn't giving his best on the pitch for Liverpool and that is why it was a mistake to keep him.
"I don't think that will happen with Suarez, simply because of the player he is, but it is something you must be aware of. Obviously, it is a difficult situation if a player has had his head turned, but someone at the club would have to deal with it."
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