Allardyce was in charge of Blackburn when he engaged in a series of public confrontations with the then-Liverpool manager Benitez.
However, the Hammers boss insists any problems are now in the past and adds he is focused solely on the game ahead.
"It was a long time ago, a lot of water has gone under the bridge since then and I am just looking forward to the game,” Allardyce told reporters.
"I don't want to jump into that scenario, I am a bit bigger than that, I don't want to go tit for tat.
|BORING BORING CHELSEA
|9/1||Chelsea and West Ham are 9/1 with Bet365 to share a 0-0 draw|
Ahead of the London derby, Allardyce believes Benitez’s Chelsea side are still a dangerous prospect and does not want to let a run of just two wins in 10 fool him.
"In the last two games they have not conceded a goal," he added. "At the heart of every good side is producing a clean sheet.
"Rafa has already sorted out what was a problem under former manager Roberto Di Matteo, and now they have got a couple of clean sheets in a row, so it will not be long before they can turn that into a victory if they continue to defend like that.
"It will be more difficult to break Chelsea down than it would have been, chances will be few and far between."