Health Minister Ben Bradshaw has agreed to meet Leicester MPs over the decision to scrap a £700m revamp of the city's three hospitals.
The project aimed to refurbish many of the city's hospital buildings
Last week the Pathway Project PFI scheme was cancelled because of the rising costs.
MP Keith Vaz has called for an inquiry, but another Labour MP has said people need to look forward and not back.
A total of £23m was spent on planning and preparation for the project in the seven years before it was shelved.
Former Health Secretary Patricia Hewitt has said she is happy the project has been stopped because it will save money in the long run.
Fellow Labour MP Sir Peter Soulsby from Leicester South agrees and has welcomed the chance to put the city's healthcare needs directly to the minister.
"A lot of the money spent preparing for the PFI scheme will still be very valuable when looking at alternative plans in the future," he said.
"We now have to make sure the government does indeed put forward the money needed to make sure that we have Leicester hospitals fit for the 21st Century."
Spiralling construction costs linked to the refurbishment of many of Leicester's existing hospital buildings caused the project to become unworkable.