"A lower cash rate would support employment growth and bring forward the time when inflation is consistent with the target," he said. The RBA target is 2.5 per cent.
"Given this assessment, at our meeting in two weeks' time, we will consider the case for lower interest rates."
Speizer says Westpac had been forecasting an Australian rate cut in August or November.
"It's not enough to say June is a slam dunk, but it's certainly been enough to increase the chances," he says.
The market's gone from pricing in a 70 per cent chance of an Australian rate cut in June to an 85 percent chance after Lowe's speech.
The New Zealand dollar was trading at 51.16 British pence from 51.31 and at 58.34 euro cents from 58.46. It was at 71.72 yen from 71.87, and at 4.4921 Chinese yuan from 4.5143.
The New Zealand two-year swap rate fell to 1.5397 per cent from 1.5484 yesterday, while the 10-year swap rate eased to 2.0550 per cent from 2.0675.