The Three Lions have been drawn with Uruguay in Group D at Brazil 2014 and Dalglish is of the belief that the rampant Suarez will cause plenty of problems when they meet Sao Paulo on June 19.
"I would have thought that when the World Cup draw was made, there were a few English defenders thinking 'Oh no, I've got to play him again - it's bad enough twice during the season.'," Dalglish told the club's official website.
"You couldn't write the script. People glossed over the second goal he scored against Norwich because of the brilliance of the other three, but the technique for the second goal was fantastic as well.
"Luis has been fantastic. He's a great entertainer and he's a humble guy. He's somebody that really enjoys working in training, he is never a problem in training. And he's fantastic on the pitch.
"It's a real joy to see him play sometimes. The goals he has scored have been hugely influential on the position that Liverpool are holding in the league at the moment."
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