England were left bruised and battered by their 381-run Ashes hammering in Brisbane, a Test in which Australia ramped up the sledging to try to get a psychological advantage.
Lyon said England will be fired up for revenge in the second Test starting on December 5 and Australia cannot afford to relax.
"It's England and it's a Test match, they're going to bounce back, we know that," he told reporters.
"Test match cricket is the hardest format going around. We're not expecting anyone to roll over. We know the quality of the England cricket side.
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Lyon said he expected selectors to again go into the match with just one specialist spinner -- himself.
"Fingers crossed there's a little bit more spin down there and we'll see how we go," said Lyon, who helped spark English batting collapses in both innings of the Gabba Test.
England, who have lost veteran number three Jonathan Trott to a stress-related illness, have a two-day game starting Friday in the searing heat of Alice Springs against a Chairman's XI, to work on their batting problems before Adelaide.