Allen watched the display from close quarters - and afterwards chose to echo the sentiments of manager Brendan Rodgers, who warned reporters that Suarez can still get even better.
"It was a master-class of a performance," Allen told Liverpoolfc.com. "When he plays like that he's unstoppable and some of the goals were incredible.
"I think when he's like that, it's a case of find him and let him do his magic. I think he struck so much fear into their team that he had the upper hand from the first minute.
"With the track record he's got against Norwich, he felt confident going into the game and he certainly showed that.
"He's constantly getting better, so the sky is the limit. The thing with Luis is how consistently he's performing, week-in, week-out. He's delivering and it's a privilege to play with someone like that - so long may that continue for Liverpool."
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