Prestigiacomo missed the Pies' thrilling one-point victory over Melbourne at the weekend with a quadriceps injury.
Last week coach Mick Malthouse hinted his veteran full-back could miss a fortnight with the injury.
But the Magpies, who with just six days to recover before facing the Saints will have only a light week on the training track, are optimistic the 32-year-old will get across the line to help them stop the Nick Riewoldt-led Saints, who demolished North Melbourne in round two.
"He trained today and I think he's a reasonable chance of getting up," Pies football manager Geoff Walsh told afl.com.au on Tuesday afternoon.
"It'll only be a six-day turnaround so any session on the track won't be that big anyway.
"He did what the medical boys wanted him to do today, so we'll just how he pulls up later in the week.
"He did everything that was asked of him today, so he's on target."
Collingwood will be desperate for its best stopper to play, with the high-scoring Saints in ominous form in the opening two rounds.
Riewoldt, in particular, has been in devastating form. He has not only booted 11 goals in the first two rounds, but 15 in his past three games against the Pies, so Malthouse will want as many options as possible for the big blonde.
Another veteran Pie, Shane O'Bree, looks set to resume after being a late withdrawal last week despite his replacement being close to best afield against the Demons.
Dayne Beams got the nod to replace the virus-hit O'Bree but Walsh said the battle-hardened midfielder was set to come back into the 22.
"I don't suppose anyone's an automatic selection, really, but he's a pretty senior player Obes … so I wouldn't think there'd be too many worries with him getting back in," he said.
Collingwood is certain to be without one member of last week's team, with defender Ben Johnson to miss up to a month with a kneecap injury.
One man who might have been eyeing his spot, backman Tyson Goldsack, will have to wait longer for a recall but the good news is he has resumed playing after a bout of viral meningitis.
He played a little over a quarter in the VFL on Saturday.
"He's back on the road to getting full fitness up," Walsh said.
"He only played very much reduced time; he only played a bit over a quarter but they were happy enough with that."
Sean Rusling also got through another VFL match unscathed and Walsh said the exciting forward's comeback remained on target.