Ashleigh Barty has set her sights set on becoming the world number one for the first time after claiming a maiden Grand Slam title.

The Australian won her first major prize at the French Open this month, beating Czech teenager Marketa Vondrousova 6-1 6-3 in the final.

Barty’s success in Paris saw her rise to a career-high number two in the WTA rankings and she now expects a fierce rivalry with current number one Naomi Osaka in the years ahead.

“Obviously that’s the next point, the next goal, the next situation I can see myself in,” she said.

“Being No.2 in the world is incredible and something I never dreamt of as a child, and we’ll keep chipping away and try our best to get to No.1.”

She added: “Obviously Naomi has been extremely dominant over the last period of time. “Last six or 12 months, she’s had an amazing run.

She’s No.1 in the world for a reason. She’s had an incredible run of tournaments and is playing some amazing tennis.

“We have only played a couple of times, but I’m sure that we’ll play many more times over both of our careers, and hopefully they’re in big matches.”

Barty, 23, is 7.00 to win Wimbledon outright, Osaka can be backed at 9.00 and Simona Halep is available at 19.00.