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Andy Murray insists there's more to come after Australian Open victory over Sam Groth

Andy Murray breezed through to the Australian Open third round with a straight-sets victory over Sam Groth. Quinn Rooney/Getty Images

Andy Murray blasted through to the Australian Open third round with a straight-sets victory over big-serving Sam Groth and then declared "I can still get better".

The British No.1, who is ready to fly home at a moment's notice if his wife Kim goes into an early labour, swept past his Australian opponent 6-0, 6-4, 6-1 in just an hour and 31 minutes to set up a clash with Portugal's Joao Sousa.

It took 43 minutes before Murray even conceded a game on Rod Laver Arena as the Scot backed up his quickfire first-round victory over Alexander Zverev, but speaking afterwards he claimed there was still more to come in Melbourne.

"It's been a very good start, for sure, but I can still get better," Murray said. "It's really impossible to say if it's the best you've played because the matchups can dictate that a bit.

"There's some things I certainly could have done better today. I could have served better. I didn't serve a high percentage of first serves, and from the back of the court, I wasn't hitting the ball as well as I did against Zverev.

"But a lot of things went well, too. The movement was good and the anticipation. I felt like I closed the match out well."

Murray, a four-time runner-up at Melbourne Park, also admitted to his surprise that his meeting with Groth was the Australian's first time playing at the famed Rod Laver Arena, with the home favourite revealing his lack of experience to Murray in the locker room before they took to the court.

"That surprised me," Murray revealed. "I thought he would have hit on it at least once or twice before. We were right next to each other in the locker room and [former professional] Mark Woodforde asked him. He said: 'No, it's first time I've ever been out there, first time I even practiced on it.'"

Murray will now face Sousa for the third time in four years in Melbourne and has every hope of extending his 100 percent record against the Portuguese No.1, whom he has beaten in all six of their matches to date.

Murray insisted he would have to be at the top of his game to defeat the 26-year-old and was preparing for a different kind of challenge to the one presented by serve-specialist Groth.

"He's almost the opposite to Groth," Murray said. "He plays predominantly from the back of the court and is very solid from the baseline. He doesn't obviously serve so big, but makes a lot of returns. He's a very good mover and he knows how to win matches.

"This is maybe the third time I played him here and we also played at the French last year. If I play well, I have a good chance obviously. But he's the sort of player that, if your level's not quite there, he'll make it very tough for you, as he did at the French. I was in a bit of trouble against him there."