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After the Reds' 5-2 hammering of Fulham Murphy claimed they were playing without fear because there was nothing riding on the games but it would be different next season.
"They have been playing under very little pressure," said the former Red.
"They haven't needed to go out and win games, and everything they get is a bonus.
"It will be a different ask for those players to play under pressure every week if they are near the top."
Dalglish disagrees with Murphy's opinion however.
"When you are playing for Liverpool the pressure is always on and Danny should know that – he played here long enough didn’t he?" said the boss.
"I just know that we played fantastic that night against Fulham and so does he.
"There’s always somebody that asks a question.
"You worry about their ability to play first, and I'm sure the players can handle anything else that comes with it."