Coach Trevor Bayliss admits concern at the patchy form of England's batsmen but excludes struggling stalwart Alastair Cook from his worries.
The success in England's penultimate Ashes warm-up fixture, against opponents they will face again in Townsville next week, was powered by two more half-centuries from opener Mark Stoneman and a crucial one from Jonny Bairstow.
Perry's double-century on Saturday - a national record and the third-highest score in a women's test - helped Australia to 448-9 declared, a 168-run first-innings lead.
"We have games like that where we have lost wickets and it is a concern". 'We have games like that, where we lose wickets like that.
"And it's not from want of trying".
"It would be great if we could have some hundreds, that's for sure", Bayliss said. They realise they have got to do better, and they are working hard'.
'Before the series, they were the ones under pressure the most, because they don't have a great deal of experience in Australian conditions'.
'The number one thing for us is that 60s are not enough - we need 160s, ' he said. "We will certainly have to do that during the Test series".
"I thought we got our lengths a lot better in this game", Bayliss said.
'It's a concern for any individual batter, I suppose, at different times through their career, but with Cook having played nearly 150 Tests, I'm sure he's been through this before'.
The absence of Ball until that first Test at least - Lions left-armer George Garton has been called up as cover - has increased Overton's chances for the Gabba, and the workload of the remaining seamers.
"I haven't really got too many concerns about him, he has been in this situation before".
England's second-innings collapse of four wickets for three runs to falter to a vulnerable 124 for seven, before Bairstow came to the rescue, and Jake Ball's ankle injury are both areas of obvious concern.
Allrounder Moeen Ali will make his first competitive outing of the tour in the Townsville game after overcoming a side strain.