The Bradford district is poised to join a super-council which would have sweeping new powers across West Yorkshire.

Bradford Council will decide next week whether to sign up to the new West Yorkshire Combined Authority, which would be tasked with overseeing a £1 billion transport fund and a £400 million economic investment fund.

Now more details have emerged about how it will be run.

A draft document setting out the details of the scheme is going before a meeting of the full Council on Tuesday.

It says the authority’s leaders would not be directly elected. Instead, the leaders of Bradford, Kirklees, Calderdale, Wakefield, Leeds and York councils would join three opposition councillors and a Local Enterprise Partnership representative on a new ten-person board. The posts would be unpaid.

A ‘politically balanced’ transport committee would be set up, similar to the one which runs transport authority Metro, and a separate scrutiny committee would be formed to hold the combined authority to account.

The authority would have “regard to the duty to co-operate” to make sure each area got a fair share of the investment.

But Conservative group leader Coun Glen Miller said he was not sure which way his party would be voting on the matter on Tuesday.

He said he was still concerned Bradford would be a “net contributer” to the authority and pay more in than it would get out. He also said ring-fencing specific amounts of cash for each area would defeat the object of the combined authority.

Coun Miller said: “David Green, the leader of the Council, would have to fight robustly to ensure we get fair returns for the residents of the district.”

Liberal Democrat leader Jeanette Sunderland said she would be asking her party to vote against the plan. She said Bradford was in no position to give a long-term financial commitment to the combined authority.

She said: “We are going to be in a position where we are going to be cutting services in Bradford, potentially to pay for transport schemes in other authorities.”

But Coun Green, whose Labour party is backing the scheme, said: “I’m not concerned in that way. I think that the benefits to Bradford district will far outweigh the financial input that the Council makes.”

He said as the various schemes brought about economic benefits, they would put money back “into the pot”.

If approved by the councils and Parliament, the body could be formed by April 2014. A public consultation held earlier this year found most people were in favour of the idea.