Allardyce himself admits that a trip to Liverpool could come too soon in his reign of West Brom to upset the Reds.
The former manager of England and Everton was appointed head of the Baggies last week after the removal of Slaven Bilic.
But he failed to make an immediate shot when West Brom were beaten 3-0 at home by Aston Villa.
And while Allardyce was the last manager to win the Premier League at Anfield, triumphing 2-1 with Crystal Palace in April 2017, he explained that the road to Merseyside may have come a little too fast for him to really test the Reds.
He said: “I would like it to be later when I know more about the players and what I can and cannot do.
“It’s a little early for me to get among the players and find out what they are capable of.
“I will do my best to set the tactics against Liverpool as well as possible and ask the players to follow these instructions in the coming days on how to train the team before I play there.
“If we can do it and stick together all, in possession and out of it, then we can frustrate Liverpool.
“It will be even better if we have a chance to score a goal, even the first goal, it might lift our spirits even more.”
And on that win in 2017, he added: “The surprising thing was that we reduced the 1-0. But the team’s conviction came back when we equalized just before halftime.
“Christian Benteke wanted to prove something at the time, because Liverpool let him go. Christian dropped a good goal from the corner.
“Let’s try the best we can. I’m not saying we’ll probably win with that record, but if we manage to score, if we miraculously win Liverpool at Anfield – which could happen anytime in this league – it will be a wonderful achievement for the players.”
Allardyce praised Klopp for responding to winning the FIFA Coach of the Year award last week, after the Liverpool boss decided to praise his guard staff for helping him lead the Reds to their first championship title in 30 years in 2020.
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And the 66-year-old admits it’s an approach he’ll try to replicate at Hawthorns.
He said: “I heard him say the other day, which was really positive for his back-room team – he said am I the best coach in the world? No. Did I get the best coaches? Yes.
“It’s a massive, massive incentive for the people who work behind Jurgen Klopp. It shows how much respect he has for them and how they helped him achieve as much as he did with the players.
“That’s exactly the path I’m trying to hire, someone who’s a lot better at that job than me and I hope they succeed.
“Jurgen’s charisma and love for Liverpool and the club have paid off 1000% and he deserves all the credit he gets at the moment.”