The 23-year-old had a 6-4 6-2 win over the world No.43 Zheng Saisai to extend her winning streak to 13 matches.

Not just that, she has now won her last 16 consecutive sets, a run going all the way back to her Roland Garros semifinal win over Amanda Anisimova.

After having the week off in the lead up to Wimbledon to overcome a long-running arm injury, Barty was excited to get back onto court.

"We kind of came into it thinking Hakuna Matata and just relax and go for it," she said.

"It was nice to come in here and get stuck into that much."

The match also marked Barty’s first appearance in a singles match on the No.1 Court, which seats 12,000 spectators, since she won the Wimbledon junior girls’ singles in 2011.

Barty showed few signs of pressure throughout the game despite the expectations that were put on her from those on the outside. 

“I think for me it’s a little bit irrelevant,” Barty said.

“The only pressure I have is what I put on myself, making sure I’m doing all the right things, preparing in the right way.

“I just play each match as it comes. There’s certainly no extra stresses on any match.”

It wasn't the perfect day out for the Australians with both Sam Stosur falling to Suarez Navarro while Arina Rodionova also bowed out in the first round.

Barty now faces Belgian Alison Van Uytvanck on Thursday evening (AEST).