New junior world No.1 Nick Kyrgios is tipping an all-Australian showdown between with close mate Thanasi Kokkinakis in the Australian Open boys’ final.

The pair have given every indication one of them can become the fourth Australian winner in seven years by storming their way into the quarter-finals.

Wildcard Kokkinakis needed only 52 minutes to send France’s Enzo Couacaud on his way, winning Wednesday’s third-round encounter 6-2 6-0.

No.3 seed Kyrgios, elevated to the No.1 ranking on Monday, was almost as impressive, also taking less than an hour to oust fellow Australian Omar Jasika 6-4 6-3.

While Kokkinakis will play Italian second seed Gianluigi Quinzi on Thursday and Kyrgios is drawn to play Serbian top seed Nikola Milojevic in the semi-finals, Kyrgios said if the two Australians played to their best, no one would stop them.

“If he plays well and I play well, that’s definitely going to be the match-up in the final, I think,” Kyrgios said.

He said the No.1 ranking had given him added confidence he could join recent Australian boys’ winners Brydan Klein (2007), Bernard Tomic (2008) and Luke Saville (2012).

“I definitely think I can beat any player in the draw but I’m going to have to play some really good tennis,” he said.

Kokkinakis, 16, earned plenty of plaudits when he filled in as a reserve at the Hopman Cup earlier this month.

He also took American Steve Johnson to three tough sets in the men’s qualifying competition at Melbourne Park, before losing 17-15 in the decider.

“You’ve got to come in thinking you can win it,” said Kokkinakis of his prospects of taking the title.

The pair are the only Australians left in the boys’ or girls’ singles competitions.

Kyrgios will play No.7 seed Wayne Montgomery of South Africa on Thursday for a berth in the semis.

Kyrgios and Kokkinakis lost their doubles quarter-final 6-2 6-4 on Wednesday to Couacaud and Italy’s Stefano Napolitano.