It follows a U-turn by Suffolk County Council last week over plans to axe three specialist centres.
"It's increasingly clear the party is understandably looking for a candidate for the unique circumstances that exist now."
He is the only MP in modern times to have won a horse race but could he land the top job?
Mr Hancock said: "We need a leader for the future, not just for now."
Suffolk County Council launches Highways self-help scheme
What councillors decide could shape Suffolk for 30 years
We bring you the latest news and results from the count.
Former Haverhill mayor will not be returning to her role as a town councillor
Funding could be somewhere between £5million and £10 million
Paula Fox is a town, borough and county councillor
Haverhill will have six wards, two more than now, in the new council structure
Stress leads to high Suffolk County Council sickness rate