Labour Napier MP Stuart Nash said he "might" consider the position of deputy leader if it was presented to him by party hierarchy.
"It is up to the leaders to determine who they want," he said.
Mr Nash was touted as a possible leader of the party after its poor showing in the general election but said he was not interested.
David Cunliffe resigned as leader following the party's poor performance in the general election but said he still wanted the job.
So far Grant Robertson is the only other contender.