"The most important thing we're focusing on is our employee, her injuries and getting hold of her family," he said.
"It appeared she was trying to free up something that was falling when the forklift rolled into her, trapping her between it and a pallet.
"She has now been transferred to Middlemore Hospital and we are trying to arrange for her family to get up there to be with her."
Mr Carlyle said he could make no further comment until WorkSafe had completed its inquiries.
Damar Industries is a manufacturer of "niche market" coating, chemical and aerosol products.
The Te Ngae Rd site has a warehouse and distribution centre.
A WorkSafe spokesman said the decision to conduct an investigation would be made following initial inquiries.