The new Minister for Infrastructure wants to consider an alternative approach to the proposed one-way scheme along St John's Road.
Constable Andy Jehan has asked transport officers to review other options.
In June 2023, the then Infrastructure Minister Tom Binet proposed a trial run in the summer before making the one-way change permanent.
It would have seen motorists heading towards town (southbound) directed to use Tower Road and Westmount, with the lower part of the road - between Parade Road and Cheapside - become northbound only.
The trial was pushed back to autumn of last year to allow officials to gather more information about air quality and traffic data, then postponed once more because of 'unforeseen labour issues'.
Now, Constable Jehan wants to look at alternative implements including southbound.
It is hoped any new proposals for a trial will be ready for this summer.

Channel Islander abandons Bordeaux as the flames 'arrive at the city's gates'
Man in hospital after serious assault at Havre Des Pas festival
Jersey teen taking on 'Journey of Hope'
No increase in domestic abuse reports in Jersey during World Cup
Nowacki wins Jersey’s first Commonwealth Games medal in 36 years
Commonwealth Games: Nowacki into 100m breaststroke final
Thousands expected at Havre Des Pas Festival this weekend
Channel Islands face 'physical' Poland test