He said it had been done in previous years.
"The whole point of putting in the expensive irrigation system was to keep the grass green in the dry summer months.
"In the past we have said that the square is a special case and the sprinklers can be used outside of the current sprinkling restrictions."
A lot of money had also been put into resowing the grass, he said.
"It's a small area in the centre of town, it's a major attraction and it gets a lot of use."
Mr Stevens said he did not disagree with the current water conservation measures but the square was small and the sprinklers would be used for only a short time.
"We don't stop the public watering the garden, they can still do it. There isn't a total ban on watering, water is still allowed to be used on alternate days as long as it's hand held."
Group manager infrastructure and services Mark Allingham said the council's contractor City Care had been instructed to restrict water across the board but that could be changed. There were two views to be considered, he said.
"One is by us restricting water across the board we set an example to everybody else."
The other was being able to providing a "nice green area" for the public when they were restricting water in their own areas, he said.
Mayor Adrienne Staples said the issue needed further investigation.
"I'm very loath to make an ad hoc decision," she said.
Mr Allingham said he would write a report for council to consider.
Mr Stevens said, if there was a policy in place, people could see "we are not going overboard with the sprinklers and it's been done for a purpose".
Mrs Staples said green spaces in other towns could also be included in a policy.
