The council would postpone the planned programme while other options were investigated, he said
The council was served a notice by the Otago Regional Council requiring it to deal with the high number of rabbits at the Manorburn Recreation Reserve.
Pindone - an anti-coagulant which takes 10-20 days to kill a rabbit after it is ingested - was to be used.
In his letter to the council, Orkibi said the reserve was one of the last areas where community members could walk their dogs all year round.
He hailed the postponement as "good news".
"It is good the council has taken on board the effect the poisoning programme would have on the community.
He hoped the poisoning option was "off the table".
"I hope a suitable alternative is found, such as shooting at night for the recreational reserve."