Australia's Darren Lehmann says he finally feels like he belongs in the baggy green cap after scoring three centuries in his past eight Test innings.

The 33-year-old leapt from 51 to 156 not out in the evening session of the second day's play in the second Test against Bangladesh on Saturday as the home side raced to a 56-run lead with seven first innings wickets in hand.

"I feel good. I always knew I was going to make it if I stuck to my guns but it was a case obviously of getting my opportunity and taking it," Lehmann told a news conference.

"I feel a lot more complete as a player. That's not to say I'm going to rest on that. You always sort of try and push forward, otherwise young players are going to take your spot."

Lehmann, who had not scored a Test century until this year, became the first Australian to score a hundred in a session since former captain Mark Taylor during his 334 not out against Pakistan in Peshawar in October 1998.

The South Australian has made 613 runs at an average of 102.17 in his past five tests against West Indies and Bangladesh this year after spending many seasons in the shadow of now retired number four batsman Mark Waugh.

Lehmann, who has played in two World Cup-winning sides, is playing in just his 14th Test since making his debut five years ago in 1997-98 against India.

Lehmann, who has captained Yorkshire, said he was not thinking about a century in a session until the final three overs of the day, reaching the milestone with two boundaries in the penultimate over.

"I thought I might as well have a crack at it and see what happens," he said. "It's nice to get but I was just happy that Steve (Waugh) and I got through the day unscathed really."

Lehmann, who hit 18 boundaries in his 187-ball knock, put on 219 for the fourth wicket with captain Waugh who is 74 not out.

"We'll just try to get as many runs as we can and see where that leads us I think," Lehmann said. "We wouldn't have any specific target. We haven't discussed it as yet.

"(Bangladesh) have shown signs of playing good competitive cricket. We've had to work hard to get our runs and work hard to get our wickets which makes for a good Test match."