He said: "I remember when I was playing for Olympiakos that there were some smaller clubs who I didn't like to play against and maybe Bolton are a similar situation for Arsenal.
"It brings an extra percentage out of a player when he faces a top team. He wants to pull out something better. A younger player can show he deserves to go to a better club or to play higher in the Premiership.
"It will be difficult for Arsenal after losing in the Champions League. It is not good for the players when they are disappointed.
"Another good thing for us is that they played on Wednesday night so they will have had only two days' rest. As the game passes they will become very tired."
Wenger claims there is no particular reason for the recent successes of Allardyce's team against his.
But it is clear the Bolton manager has gradually fashioned his collection of misfits and has-beens into a side that is hard to beat and improving all the time.
They can defend stoutly, do not give up and are prepared to win ugly.
Success in the air and from set pieces gives them a strength where Arsenal, particularly without the injured Sol Campbell, are weak.
In players such as El-Hadji Diouf and Jay-Jay Okocha, who is set to miss tomorrow's game with a hamstring injury, Bolton also have flair and this season it has proved an effective combination.
Allardyce's side have lost just once in 2005 and have beaten Liverpool and drawn with Manchester United and Chelsea this term.
A European place through league or Cup is up for grabs and Bolton are not about to change their formula tomorrow.
Greece international Stelios said: "Arsenal are a side who don't like physical football. They are more technical players.
"You have to find what teams don't like and do it. We have to fight to our strengths, things like set pieces.
"Some people don't like it but it's effective so we will keep going with it. A lot of people didn't like Greece's type of football when they won the European Championship, but it brought us a medal.
"We would prefer to be ugly and get results than be beautiful."
Wenger, whatever his predicament, is unlikely to adopt such an attitude.
His success has been achieved with a style that is easy on the eye, but this season he has had less in his squad to appreciate. Injuries to key players - Campbell, Edu, Gilberto and now Henry - have shown that Arsenal's reserves are shallow.
Henry said after their Champions League exit this week that a lack of transfer spending has damaged his team this season.
With work on the Emirates Stadium at Ashburton Grove going well, Wenger been promised £40 million to spend in the summer on new players.
But his Bolton counterpart thinks he could have done with the money earlier. Allardyce said: "Their weakness lies in their strength in depth.
"With all the competitions they're in and all the international players they have, they need 24 top players to cope with 60 to 70 matches a season and they've got about 16 who are world class.
"Some of the young players have terrific potential and have shown some great form, but overall it hasn't been quite enough for them.
"The loss of people like [Sylvain] Wiltord, Kanu and [Martin] Keown last summer, while Gilberto and Edu have been out for a long time, is where the weakness lies.
"The sway of power was supposed to go their way because last season they won so convincingly and deservedly.
"But they haven't managed to sustain it so if there's a mental or physical weakness we'll try to seek it out.
"Tomorrow is their last chance to save what they hoped would be a good season. It has begun to turn against them."
