Labour councillors are calling for a rethink on proposed new cycle lanes along the seafront and Old Shoreham Road.
They want wider consultation, including with disabilities groups, as well as better evidence that any proposed changes will achieve their aims.
The party said that – when it was in office at the start of the coronavirus lockdown – it acted swiftly on health grounds but residents now needed more time to have their say.
The Conservatives said that they were “pleased to see the Labour group’s u-turn”.
Money for the initial changes came from the government’s Emergency Active Travel Fund and was known as “tranche 1” funding. Brighton and Hove City Council was allocated £663,657.
This went towards the stretch of the A270 Old Shoreham Road cycle lane in Hove between The Drive in the east and the Hangleton Road traffic lights in the west.
It also paid for the A259 seafront cycle lane from the Aquarium roundabout, in Brighton, to the bottom of Fourth Avenue, in Hove, and the closure of Madeira Drive to drivers.
The new cycle lanes, the closure of Madeira Drive and the associated loss of parking spaces have had a mixed reception.
They led to people with disabilities and their carers setting up a lobby group called BADGE (Brighton Access for Disabled Groups Everywhere).
One criticism is that blue badge holders with mobility problems are being discriminated against because they now have to ask permission to use the public toilets in Madeira Drive.
Another concern is the safety of four of the seven remaining disabled parking bays alongside the new A259 cycle lane.
The council has already removed one stretch of the new seafront cycle lane, between the Aquarium roundabout and the bottom of West Street at the behest of Brighton and Hove Buses.
The cycle lane was blamed for creating congestion, gridlock in surrounding streets and unnecessary pollution.
The council expects to receive a further £2,376,000 in “tranche 2” funding from the Department for Transport to cover the cost of more measures to encourage “active travel”.
These include extending the seafront and Old Shoreham Road cycle lanes further west to the boundary of Portslade and Southwick.
The A23 cycle lane would be widened between Church Hill, Patcham, and Stanford Avenue, at the southern end of Preston Park.
