The Tasmanian and Federal Governments are being accused of taking too long developing a plan to save the West Coast Wilderness Railway.

The Federal Group will stop operating the tourist attraction and freight carrier at the end of April.

The Mayor Darryl Gerrity said the State and Federal Governments should not consider the date as their deadline for finding a solution.

Councillor Gerrity said the accreditation to run the trains is held by some of the staff members who are starting to look for jobs elsewhere.

"If we lose a couple of key people from the railway now it could close by the weekend," he said.

The state Infrastructure Minister, David O'Byrne, said the government was working on a plan to keep the railway open.

"We acknowledge time is of the essence," he said.

Mr O'Byrne said there had been informal talks with some potential new operators.