Koschitzke hasn't played a senior game since picking up just one possession against Geelong in round 21 last year.
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He has played two matches for St Kilda's VFL affiliate Sandringham this season.
The 30-year-old veteran of 195 AFL matches has been named on St Kilda's extended bench for Thursday's game, so he may yet be left out.
Teammate Leigh Montagna said Koschitzke had been frustrated by his start to the year in the VFL, but he was as enthusiastic as ever about breaking back into the team.
"He's pretty keen to get back amongst it. Even just coming away with the boys now, he's pretty excited to be back amongst it," Montagna said.
"It's been hard for him to watch the boys play.
"He's been pretty good. He was a little bit frustrated early in the season when he missed out but he sort of had that moment where he thought, 'You know what, I'm going to make the most of this and take it on the chin'.
"He's done well with the young guys; a lot of them have said his attitude around Sandringham has been terrific, he's really made an effort to enjoy his football and working with the young kids.
"He's still hungry and he's still waiting for his opportunity and if he gets it, he'll make the most of it."
Dempster is certain to line up against the Swans after he was named on a half-back flank.
Tom Lee, Arryn Siposs, Tom Hickey, and potential first-gamers Brodie Murdoch and Josh Saunders are the Saints' other inclusions.
Saunders looks set to make his debut after being named in a forward pocket, while Murdoch is on the extended bench.
Stephen Milne (suspended), Beau Maister (broken wrist), Terry Milera (omitted) and Tom Simpkin (omitted) are all out of the team that lost to Essendon last weekend.
The Swans will definitely make one change, with Lewis Roberts-Thomson ruled out after suffering a knee injury during last Friday's loss to Geelong.
Jesse White, Craig Bird, Andrejs Everitt and Tommy Walsh are the ins for the reigning premiers. All have been named on the seven-man bench.
St Kilda and the Swans will name their final 22-man teams on Wednesday night.
The Essendon and Collingwood sides will also be named then.
The remainder of the round five teams will be announced on Thursday evening.
