At the time, Team NZ chief executive Grant Dalton said the team "can't raise real money" without knowing the venue.
But any decision on further Government funding would depend "on the attitude of the other players", Mr Joyce said.
"There's a big yachting community in New Zealand, who are keen to see a challenge, I think it would be a good idea for some of them to step up at this point.
"And of course there's a bunch of other sponsors who, as I understand it, indicated to Team New Zealand that they're very keen to keep participating. So they should probably step up a bit now as well."
Mr Joyce met with Team NZ last week before the protocol for the next America's Cup was released, but would not say how much money the team need.
"They didn't ask for a specific amount, but we know that the $5 million that they got from us in November/December last year, that's about three to seven months, so they'd need something similar from their sponsors over the next period."
Mr Joyce said he believed the America's Cup was "still a great thing for New Zealand in terms of marketing opportunities".
"I think there's some strong profile opportunities in that for New Zealand, and therefore it makes sense for us to be involved in some way.
"But actually, look, it's never going to happen without all the other sponsors, there's no way that this is a Government funded challenge."
The competition has a US$2 million entry fee, due by August 8.