Last week the 12 Scottish Premier League clubs agreed to push for a new merged 42-club body with top-flight play-offs in time for next season.
The proposals, which are still to be put to the Scottish Football League, would ensure a 12-10-10-10 system with the 11th-placed team in the top flight involved in four-team play-offs at the end of the season.
Dempster does not yet know what extra money - if any - those proposals would provide for the Lanarkshire club who are hoping to hold on to several key players, including top scorer Michael Higdon, Chris Humphrey and James McFadden.
She said: "First and foremost we have to see the final financial analysis so we are not making any firm projections until we see that, hopefully today or tomorrow. But the point about reconstruction isn't necessarily around short-term finances, for this season upon us, it's about the longer term.
"I don't know if I would say I expect proposals to go through but I am very hopeful. There is enough in the proposals for everybody and even if it was deemed as a starting point for the next three or four years, it's a good starting point."
Dempster is especially keen to hold on to McFadden, whose short-term contract, paid for by two directors outside of the club's normal football budget, comes to an end next week.
The 30-year-old former Everton forward has rolled the years back since returning for his second spell with the Steelmen in February, and scored the opener in Sunday's 2-0 win over Ross County. However, with finances up in the air, Dempster remains cautious.
"We will wait and see what happens with James at the end of the season," she said. "Clearly we would love to have him here next season, that is a no-brainer.
"James has proved his fitness and proved everything we knew he had. He was superb yesterday and the whole time he has been here. So I am sure James will have many suitors after his signature but should other things transpire we would love to have him here next season."
- Sports & Recreation