The doctors have pledged £6m in personal guarantees and already secured a £40m loan for the project from the Royal Bank of Scotland.
Laing O’Rourke is also understood to be taking an equity stake in the project.
The surgeons and clinicians have now hired corporate finance firm Cavendish to find an investor willing to provide the remaining equity funding needed for the new Kent Institute of Medicine and Surgery.
It is hoped construction will start in September, while further medical facilities could be subsequently built alongside it. The total development could cost £200m.
The new clinic, which has outline planning approval, will specialise in cardio, thoracic, liver and neuro surgery and would employ some 120 clinicians
Paul Herman, partner at Cavendish, said: “The interest received to date is substantial and it goes to prove that there is still, post-credit crunch, a lot of money being thrown at the right investments.”
Executive director of the Kent Institute of Medicine Andrew Frost said: “The clinic is not intended to replace local NHS hospitals but provide additional treatments.
“This will be the first new private hospital to be built in the county for 20 years.”