But he said New Zealand banks still sourced about 35 per cent of their funding overseas and the "real concern" was the danger of a European financial meltdown making investors more reluctant to invest in international markets.
BNZ treasurer Tim Main said the bank raised around $8 billion, or 13 per cent, of its funding liabilities in Europe.
It pre-funded much of its requirements, he said, which reduced its reliance on any single source of funding for an extended period.
BNZ had also been focusing on using domestic deposits to raise a larger proportion of its capital, as well as developing new funding streams such as covered bonds.
"Despite our actions, it does appear that the cost of raising money is increasing further, and that a prolonged period of European dislocation will place further upward pressure on all money raised," he said. "This may see pressure for lending rates to increase further."
Westpac chief economist Dominick Stephens said this week that international funding had already become costlier as a result of concerns about European banks.
International markets had been slowing over the past three months, but the situation had not yet caused problems for New Zealand banks because they had been able to delay going into the market to raise funding, Tripe said.
"They're not going to be able to do that indefinitely."
Tripe said that even if a European financial meltdown occurred, it was unlikely that funding markets would completely freeze up.
"It's just the price would be rather higher and the terms ... would be rather shorter."
NZIER principal economist Shamubeel Eaqub said this country's banks were not overly reliant on short-term funding from Europe.
"That's helpful, but at the same time we do use European money markets to raise money, and because New Zealand is a low savings country we always need to rely on foreign savings so that vulnerability is there and if [the crisis] escalates then there will obviously be issues."
ASB general manager of treasury, Nigel Annett, said the bank was well capitalised and did not have exposure to European corporates or governments.
ANZ New Zealand chief executive David Hisco said the bank, which reported a more than $1 billion full-year profit yesterday, had very little exposure to Europe.