Suarez scored four wonder goals in victory over Norwich City.
"You have seen a world-class performance, probably one of the best individual performances I've seen at Anfield - and I've been playing here a long time," Gerrard told Liverpoolfc.com following the 5-1 win.
"Having worked with him every single day, it's probably less of a surprise to me as it is to the supporters. I've been pushing his corner for a long time that he is up there with the best in the world.
"I think he's getting so close to the main two, Ronaldo and Messi. If he keeps going, I think he can catch them. His fourth goal was average and it was a 30-yard free-kick, so I think that sums his performance up."
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