Since 2009, traffic flow on nearby James Street had increased by about 100 vehicles per hour at its peak, a report to be examined by councillors stated.
The Hazel Court site could accommodate current total demand, but peak-time queues were causing wider problems on the city’s roads, the report said.
A trial booking method using the same system operated during the Covid pandemic could be used at the centre, it added.
This would “average out” the number of visits without restricting the total amount as Hazel Court could meet the demand of materials being taken.
Options for the future provision of household waste recycling centre services in York were also being explored, the report explained.
This would “likely be the identification of a site that would better serve York’s growing population”, it concluded.
Members of the place scrutiny committee are due to meet later this month to discuss the proposals, and a further report was expected to be taken to the council’s executive for approval in October.