The Broomhill Trust wants to reopen the 1930s built lido, which was closed by the council four years ago.
Conservative councillor Judy Terry, who chairs the leisure services committee, told the programme the lido was not a priority for the council. 'We do have to balance the needs of the community and I believe that the trust can achieve what they are setting out to do because they are so determined and we will give them every support,' she said.
But Labour member John Moles said, while he supported the campaigners, restoring the lido was 'an enormously tall order I wouldn't say I'm optimistic'.
He did not think this was a good example of the new localism that Labour favours, with local people taking over services. 'If anybody thinks that Ipswich council can walk away from the whole thing and assume that we as council taxpayers won't have to contribute in the future, they're daft,' he concluded.