Anderson has contrasted the sporting atmosphere which prevailed during England's recent series with New Zealand to the 'needle' that existed during the last Ashes campaign, which Australia won 5-0 on home soil in 2013/14.
Infamously told by Australia captain Michael Clarke to "get ready for a broken fucking arm" during the first Test in Brisbane while batting as a tailender, Anderson said he hoped the latest series between the arch-rivals could be played in the same spirit as England's series with New Zealand.
However, retired leg-spin star Warne, in a column for Britain's Sunday Times newspaper, wrote: "Are you for real Jimmy? Seriously! This is the Ashes and I can tell Jimmy now that he is going to cop it from the Aussies more than anyone. When he's batting, it will be 11 against one in the middle.
"I reckon Michael Clarke and his team will carry on from the last (Ashes) series and give it to Jimmy and Stuart Broad."
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Meanwhile Broad, in comments given to British newspapers published Sunday, said England would not win the Ashes by "out-sledging" Australia.
"We have to be aware that they will be aggressive towards us, but we have to look them in the eye and be up for a battle but I don't think we have to rise to it," Broad said.
"You have seen in the past couple of months guys playing with smiles on their faces and playing aggressive, free-flowing positive cricket, and that is how we will beat Australia. We won't beat them by out-sledging them," he added.
"I love the fact he's Australian, and could potentially take the Ashes away from Australia," said Broad.
The first Ashes Test starts in Cardiff on July 8.