Australia's Marnus Labuschagne is honoured to join an elite band of players to score a double and single century in a match after his efforts against West Indies.

The top-order batsman added a further knock of 104 not out to his first-innings score of 204 to help push the hosts closer to victory in the first Test.

With his efforts at Optus Stadium, Labuschagne is just the third Australian to achieve the feat, after Doug Waters in 1969 and Greg Chappell against New Zealand in 1974.

He is the eighth overall to manage it, joining an illustrious list, and the batsman acknowledged his achievements were yet to sink in.

"I've only found out about the club," Labuschagne said. "I haven’t really had time to reflect on it yet. As a player, you never know how special it is until time goes by.

"You get to those periods where you don’t make as many hundreds, and you miss out a few times. You're like geez, remember that day?

"I feel very privileged to be able to be even named with those players in that club."

West Indies duo Brian Lara and Lawrence Rowe, India's Sunil Gavaskar and England's Graham Gooch are among the others to have achieved the feat, with Sir Lanka's Kumar Sangakkara the last to have done it before Labuschagne.

Australia will look to secure victory on the final day in Perth after finishing Saturday needing seven wickets for victory, having been held off by Kraigg Brathwaite's stubborn century in response.