Apulia returned from Perth to finish fifth behind Birdman in the Blamey Stakes (1600m) at Flemington last month before running a last start second to that galloper in the Peter Young Stakes (1800m) at Caulfield on March 14.
Blinkers have again been added to Apulia's gear for Saturday's contest.
"He hasn't worn the headgear for a while, so we've put a set of blinkers on which may give us the extra couple of lengths that we need to catch Birdman," Hayes said.
"I thought we ran well behind him at Caulfield. He had the easier run than us, as we had to go wide.
"He's there to peak on Saturday. He loves Flemington and I think the 2000 metres is what he's looking for.
"I think 2400 is his best trip with his win in the Perth Cup, and he was dominant, but at 2000, he'll still be sharp enough and will be competitive.
"We're hopeful and I think he's a genuine top three chance in an Australian Cup, and it has been a good race to us over the years."
Birdman heads the market at $3.70 ahead of Tom Kitten at $4.20.