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Swansea Council's Cabinet will meet next week to talk about changes to the layout of the Kingsway.
It follows the death of mum-of-three Sergeant Louise Lucas who was hit by a bus.
The Council says changes will be made "as quickly as possible" after funding has been agreed.
Last week, it announced that temporary barriers would be put up along the central reservation and that a one-way system would be introduced.
In a statement, Council Leader Rob Stewart said:
“We are doing everything we can to shorten the timescales involved in introducing these changes to the Kingsway traffic flow and barriers to the central reservation area, but it is likely other measures will follow shortly.
“We are also currently considering all options for further changes to support the redeveloped Kingsway area. It is important that the steps we take on the Kingsway do not create issues elsewhere in the city. We are taking the step of bringing forward funding so that any works can get underway as soon as possible.”
Changes will see traffic will only flowing westbound, meaning several buses will be re-routed around the city centre.
Last year, a 20mph speed limit was enforced and extra signage for pedestrians was put up.
Sergeant Lucas was based at Llanishen police station in Cardiff, working around the villages of Llanishen, Rhiwbina and Thornhill.
A spokesman for the South Wales Police Federation, which represents officers in the force, says her death is devastating.