After defeats to New Zealand and South Africa and a win over Fiji, the Wallabies are the last opponents in 2021 for Wales.
“I am looking forward to hopefully finishing with a victory,” Northampton’s Biggar said.
“Everybody was aware the New Zealand game was going to be a difficult ask for us in that first week.
“We were very disappointed not to win the South Africa game.
“After fronting up incredibly well, we probably should have got over the line. It was disappointing, but there were lots of positives.
“I have played Fiji four times in my career and I have never been involved in a particularly good performance, collectively and probably individually as well.
“It always seems to be a game where you speak all week about wanting to be controlled and as structured as possible, but the way that they play and the athletes they have got makes it difficult to transfer that to the field which is slightly disappointing.
“But if you look at the way we went up against the world champions and what they did against Scotland a week later, I think we can be pretty pleased.
“We have to make sure we win on Saturday for it to be a decent autumn otherwise it will be disappointing.”
Wales have won their last two meetings with Australia including when they met in the pool stages of the 2019 Rugby World Cup in Japan.
Biggar started that game with a quick drop goal.
Australia have been beaten by both Scotland and England in their two autumn games in Europe so far.
Dave Rennie’s Wallabies will also be without experienced captain Michael Hooper this weekend.
Biggar added: “Australia are a very skilful side. They probably got a bit overrun by England in that second 40 in terms of the power England put on display.
“It’s about matching that. We know they are going to come with a big pack of forwards and try and disrupt us.
“In behind they have some very talented backs in terms of James O’Connor who seems to have been around forever.
“He has tonnes of experience and some exciting backs outside him. Andrew Kellaway has been in really good form for them and Kurtley Beale is one of those experienced campaigners.
“They are going to have lots of tricks up their sleeves with a very well-coached team in terms of their set-up.
“We will expect some difficult first phase attack to deal with and it’s about matching them physically before anything else.
“That is probably where we fell off in the first 20 minutes against Fiji and is why we did pretty well against South Africa where we muscled up physically.
“I would expect the same again.”
