The £6m project would replace a bridge at Treeton Lane with a more modern one, which engineers said would allow water to pass more freely underneath, lowering upstream flood levels.
The work still needs approval from the Environment Agency, but according to the Local Democracy Reporting Service it has widespread community support.
However, Mr Lloyd said he doubted a repeat of the flooding could be ruled out without further work to reduce water levels beyond Treeton bridge
“I welcome anything that’s going to help and improve the situation,” he said.
“But if the bridge is the bottleneck, why was the water the same height at the other side of the bridge, suggesting there’s no room for any other water [even] once the bridge is changed.”
Marshall said the flood alleviation scheme demonstrated the council’s commitment to protecting communities.
Construction was expected to begin after detailed design work and regulatory permissions were secured, councillors were told.