Suarez goes into the Anfield match on the back of a four-goal blitz against Norwich and a personal tally of 13 for the season.
And the World Cup draw in Brazil means England will have to deal with the Uruguay star next summer too.
"At the end of the day, however hard we plan and however much we do, sometimes it becomes unstoppable," Allardyce said.
"A man of his talent, if he is in that mood, however hard your players try, he is sometimes an unstoppable player.
"From that point of view, however well we might master him on Saturday, there still might be a bit of genius or brilliance that comes out of him that we can't stop. I just hope that isn't that day for him on Saturday."
The Hammers did manage to prevent Suarez scoring on their last trip to Anfield as they secured a point in a 0-0 draw back in April.
But Allardyce knows they will have a tough job doing it again.
"He is a unique centre-forward in this country," Allardyce added. "I don't think there is any other centre-forward who plays like Luis Suarez. He is unique in the amount of energy and the amount of places he turns up in and still then ultimately gets a shot in on goal.
"Because he pops up in so many different places, the central defenders think they are going to mark Luis Suarez all game but they won't. Sometimes it will be your centre midfield players, sometimes your right-back and sometimes your left-back.
"His movement and his energy, not just on the ball but off the ball, means he pops up in many different places which clearly catches a huge amount of very good defenders in the Premier League out with the goals he has scored this season and last."
Suarez has played just nine Premier League games this season but Allardyce hailed his display in the 5-1 victory over Norwich as one of the best he can remember.
"It is right up there with the best," he said. "Some of Gareth Bale's individual performances last year might have been touching on it, although he didn't score four goals he certainly used to turn games on their head.
"I think it would have to be superior to that though because he scored four goals - at the end of the day one individual scoring four goals in a Barclays Premier League game is a pretty major thing."