"It will be two contrasting situations obviously. The type of wickets there and Australia being the number one side in the world compared to Bangladesh being down at the bottom," said Vettori after drawing the second Test.
The 29-year-old took nine wickets and scored a half-century in each innings to anchor New Zealand to a hard-fought three-wicket win in the first Test at Chittagong.
He was again the pick of tourists' bowlers with 5-66 to push Bangladesh in a tight corner on Wednesday before all-rounders Shakib Al Hasan and Mashrafe Mortaza batted solidly to thwart New Zealand's victory bid.
Vettori said the Bangladesh series helped his team gain the rhythm they would need for their tour to Australia. The first Test starts at Brisbane from November 20.
"It's going to be a tough test but the Bangladesh series mainly got guys back to cricket," said Vettori, whose team's last series was against England in June -- when they lost 2-0.
"It is better to have played on this tour than it is going to Australia with no cricket at all and guys have learnt how to bat for longer durations," said Vettori, whose team won the preceding one-day series 2-1.
Vettori refused to agree Ricky Ponting's Australia are going downward.
"They are still the number one side in the world. India played really well to beat them in the last game and from my experience of the Australian team they tend to come back stronger.
India lead the four-match series 1-0 with the third Test having started in New Delhi on Wednesday.
Vettori said winning the series against Bangladesh was pleasing.
"We came here to win the series. There were parts of the game when Bangladesh were on top in parts of the first Test match but I am happy the way we chased down 317 in the first Test," said Vettori.
Bangladesh captain Mohammad Ashraful said he was satisfied with team's performance.
"We have played a very good series and I hope the players will show more improvement in near future," said Ashraful, whose team tours South Africa next month.
Bangladesh play a Twenty20, three one-day internationals and two Tests against South Africa -- a tour which Ashraful hoped would bring the best out of the players.
"We did well in the first Test at Chittagong and it was disappointing that we did not win that match. Now we will go to different conditions and need to put up our best effort, I hope players will."