In a statement, Natural Resources Minister Paul Robichaud says many of the 15 farmers have raised concerns with the new regulations, so the deadline has been extended until May to allow discussions to continue.
The regulations would require farmer to comply with rules on fencing standards and identification of the animals in order to obtain a permit for white-tailed deer.
New Brunswickers would be able to get a permit to raise the animals for their own use or for sale outside New Brunswick.
They would also be allowed to import captive-bred white-tailed deer for breeding.
The government originally said the farms were illegal and threatened to shut them down after 55-year-old Donald Dube of Saint-Leonard was killed in October 2011 by a white-tailed deer he was raising.
But earlier this year, the government announced it would enact regulations to make the farms legal.
Alberta, Saskatchewan, Quebec and Ontario also allow white-tail deer farms.