York's Barbican Centre could be handed to a specially-created community leisure trust, if Green councillors in the city get their way.
A proposal to put the facility into community use is to be examined by senior officers in the near future.
The pool at the centre closed in 2004 and the facility has fallen into disrepair.
A previous deal by commercial company Absolute Leisure to redevelop the Barbican fell through.
Green councillor Dave Taylor said there was a chance for residents to make use of the city centre facility.
He said: "The situation we face in York is not unique.
"All over the country, charitable Community Trusts are being created to manage facilities formerly run by councils.
"We saw an opportunity to re-examine the possibility of truly giving the Barbican back to the community.
"We're glad to be finally working with the administration on this, and as a result of negotiation, not opposition, to sort this mess out for our ward constituents and the whole city."
The Green Councillors are arranging to meet the Director of Learning, Culture and Children's Services and Executive Member for Culture, Christian Vassie, to discuss how a future trust might be run.