A group led by parents' organisation ParentsOutLoud and the teachers' union ATL are campaigning for a change to be implemented so parents can keep their children in pre-school if they feel they are not ready for primary school.
Northern Ireland has the lowest statutory school starting age in Europe, with children required to start school as young as four years and two months depending on their birth date.
Amanda Martin, from Ballygomartin in west Belfast is one mum who supports the campaign.
Her four-year-old son Lyndon has a 29 June birthday, and had he been born three days later, he would have been due to start school next year.
Amanda explained that Lyndon has found nursery challenging as a younger child and she and her husband Robert have tried without success to find a way of keeping Lyndon in nursery school for another year.
"The transition to formal schooling is going to be a huge challenge for Lyndon," she explained.
"I have absolutely no doubt that what he needs is a further year in the child-centred environment of a nursery school.
"If we'd been able to wait, Lyndon would have been developmentally ready for the challenges for primary school.
"I have no doubt that Lyndon's school will give him every support they can, but I think it's completely counter-productive for him to start school before he's really ready."
Sinn Féin Education Minister John O'Dowd had agreed in April to look at deferred school entry for the youngest and other children with developmental issues.
DUP MLA Mervyn Storey, chairman of the Education Committee, said it was "incumbent on the minister to make the legislation clear".
"There are a relatively small number of chidren in Northern Ireland with specific circumstances who should be allowed to defer starting school," the north Antrim MLA said.
"I would contend that current legislation permits Education and Library Boards to offer an additional pre-school place for children deferring compulsory education.
"The Department should immediately introduce guidance to ELBs and schools to allow a one year deferral and an additional year of pre-school for certain children."
Principal of the Clandeboye Primary School, Julie Thomas, was part of the delegation at Stormont on Wednesday.
"We pride ourselves on providing a curriculum which is suitable to all but we at the moment are not addressing the needs of some of the children within our sector," she commented afterwards.
Sinn Féin Education Spokesperson Chris Hazzard said that his party supports the proposal.
"It is important that the needs of the children are put first and that we maximise the enjoyment of children at school," the south Down MLA said.
"By introducing flexibility for these children we can ensure that they are beginning school on a better basis of being able to settle, mix and learn with the other children.
"This leads to better educational outcomes for all the children and that has to be the focus."
In England, the department for Education issued guidance two months allowing for a similar flexible approach by local authorities, in Scotland some children can defer school entry while in the Republic of Ireland children can start school at any time between ages four and six.
ParentsOutLoud spokesperson Dr Liz Fawcett claims this flexibility elsewhere does work.
"Both Scotland and the Republic of Ireland appear able to manage a flexible approach to the school starting age without any undue problems," she said.
"Now that the government in England is also taking action on this issue, we hope the Education Minister will act as speedily as possible, and we're certainly heartened by the Committee's interest in the issue."