Australia were perfectly placed to wrap up victory inside three days after building a 310 lead on the first innings and reducing Bangladesh to 70-1 in their second innings on Saturday.

History and form suggest Australia will cruise to victory, but Waugh said Bangladesh had impressed him with their fighting spirit.

"They can obviously play but they've got a lot to prove," Waugh said. "A lot of people have written them off and it was good to see them play well."

Waugh completed a century before declaring Australia's first innings at 407 for seven, but said it was difficult scoring freely against the Bangladeshis.

"We really had to work hard for our first 150 runs so I think you have to give Bangladesh some credit for that, they bowled and fielded pretty well," Waugh said.

"They're very inexperienced...but we've found out that they can play.

"Mortuza bowled well, as did Tapas (Baisya).

"They're playing a pretty good side with a lot of experience, and Test cricket half of the time is the amount of experience you have on your side and at the moment they haven't a lot they're going in the right direction," said the Australian skipper.

Darren Lehmann, one of the three victims of Mashrafee-bin-Mortuza, also scored a century but was full of praise for the Bangladesh bowlers.

"Obviously they haven't got a lot of quick bowlers but what they did was bowl in the right areas and make it tough to score runs," said Lehmann, whose 110 was his first century on home soil.

"They bowled with discipline, they don't try and fire you out, they really try and work on their patience and that's a good game plan for them.

"We had to work really hard for our runs.

"That Mortuza played really well, they all bowled really well. They were energetic all day and I was impressed with that," he said.