Wanderers aim to take advantage of Arsenal's weaknesses in a bid to complete a home double over the Gunners tomorrow.
Arsene Wenger's men will arrive at the Reebok depleted and deflated ahead of the FA Cup fourth round clash.
Recent injuries to Thierry Henry, Gilberto and Lauren add to a lengthy casualty list already including Ashley Cole, Gael Clichy, Pascal Cygan and Cesc Fabregas while Emmanuel Eboue, Kolo Toure and Emmanuel Adebayor are all away on African Nations Cup duty.
So bad is Wenger's plight that he has had to reinstate Sol Campbell into tomorrow's squad despite the England centre half suffering with a hamstring strain.
It means both sides are struggling to put out anything like a full strength side tomorrow as Bolton are down to their last 14 fit first teamers with two, possibly three, men out injured and four away on African Cup of Nations duty.
Wanderers have proved they can compete with their limited resources, having won away at Watford in the cup, drawn at Blackburn Rovers and convincingly beaten Manchester City.
While Wanderers are upbeat, however, Arsenal's morale is low after being knocked out by Wigan in the Carling Cup semi-final on Tuesday, a setback which came three days after a disappointing performance and defeat at Everton.
Allardyce says he cannot expect his side to produce the same physical domination of Arsenal that they achieved in the Premiership earlier in the season.
But he is encouraging in his assessment of the Whites' chances of overcoming the Gunners by alternative means.
He said: "When we've only got 14 fit players we'd probably say we were not looking forward to playing Arsenal.
"But if you look at what problems Arsenal are facing, perhaps our situation is not going to hinder us too much.
"We will not be able to give them the same kind of physical test we gave them in the last game because we haven't got the same physical presence available for this one.
"Some of it is still there but we are having to be adaptable and change things around and use what we have to the best of its potential.
"We haven't got the same physical presence we would like. But neither have Arsenal. They are less physical than they used to be and that's probably why they haven't achieved what they normally do away from home.
"If Arsenal have some fatigue and some players who can't play through injury, we have to try and take advantage of that.
"If they have got all guns blazing, life's going to be very difficult for us because, pound for pound, they are better than we are.
"We have got to look at what we did last week against Manchester City and not mess with it too much, and ask the team to play like that again.
"I think if the team can play like that again, it is capable of giving Arsenal a really good game.
"Defensively, we snuffed out a Manchester City side which did not produce a shot on target.
"The defence playing like that would give us a starting point tomorrow and then, when we have got the ball, we have got to try to reproduce what we did last week when we broke down the opposition and were clinical with our finishing."
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