Wayne Bates, a national negotiator for teacher’s union NASUWT, said co-operation between schools was a “good thing”.
He said any changes to improve education, performance and outcomes for pupils would have a “beneficial impact on the economies of both islands”.
Dr McCullough, who works for the islands to investigate breaches into their codes of conduct, said a collaboration would need an “equal partnership”, regardless of the size of the island.
“It’s about better service delivery, it’s not necessarily about conforming to one sort of model,” she said.
“Anybody who is looking to share services… has to be clear about mutual respect.
“Each island has an equal say.”