"Given the downside risks around the employment and inflation outlook, a lower OCR may be needed," it said.
The decision to leave the rate unchanged came as no surprise.
"However, the policy assessment confirmed that an easing bias was in place noting a 'lower OCR may be needed over time to continue to meet our objectives'," ASB economists said in a commentary.
Some banks, including ASB, are predicting a rate cut in August.
"Future moves in the OCR are likely to remain data dependent and will also be contingent on global events, the actions of overseas central banks and the NZD," ASB said.
The New Zealand dollar dipped by about 20 basis points in the minutes following the 2pm release but soon bounced back. By 2.15pm the kiwi dollar was at US66.47c, up from US66.4 just before the release.