The cygnets could be introduced to the burn within a couple of days of hatching, so Devey said Wild Intrigue had been working towards creating a safe environment for them.
Temporary signs have been installed to ask people to give the swans extra space and keep dogs on leads.
But Devey said the most important one was not feeding them at the nest as it could attract rats.
“Rats are clever, they’ll take the food put down for the swans, but they might also take a cygnet at the same time,” she said.
Ouseburn is an area with high footfall due to the pubs, restaurants and nearby farm, so Devey said it was necessary to help the family develop.
“We love Ouseburn because you’ve got this mix of people enjoying a day out in the sun and then you’ve got this amazing wildlife everywhere as well,” she said.
“But it is important that we find a balance or we’ll lose it.”