Like the canny player she is, Barty stepped in to take advantage, breaking to 15 in the next game to lift the title.
This was the standout match ahead of Saturday's semi-finals, mainly due to the classic encounters that have occurred between these two in recent times.
Konta, the world number 22, had breezed through the opening set in half-an-hour before, with Vekic having called for the trainer and looking ready to go for further treatment, the players were forced off by rain.
She looked on course to do so early in the third set but suffered a big setback when an untimely net cord helped Barty break and race into a 4-1 lead.
"She's improved a lot and is playing very well over the past year since she's come back and getting better and better".
Trump says Michael Cohen is not his lawyer
The government has agreed that all the material be reviewed by Cohen by June 25. "As this Court has probably already surmised, Mr. Avenatti's actions are mainly driven by his seemingly unquenchable thirst for publicity", the motion said. "For over 12 yrs, Mr.
Vekić got the better of Konta in the final of this tournament past year as she won 2-6, 7-6, 7-5 in a scintillating encounter. However, she was aided by a double fault from the 21-year-old which ultimately won her the opening game.
Konta has reached this week her first semifinal since Wimbledon a year ago, having not won three matches in a row since then excluding Fed Cup zonal play. Konta followed this up with a flawless service game. She's improved a lot and is playing very well since she's come back.
Konta rallied and managed to get back on serve after a tense and nervous Barty service game that made it 4-3. Vekić was unhappy with a decision resulting in her calling a shot out in the middle of the point, meaning that she subsequently lost the point for speaking during play.
Barty broke her Japanese opponent twice in the first set and again at the beginning of the second to add a final place to the one she earned at Sydney in January. She was in control going forward taking the response against Vekic's serve to break her for the double with one to go. It was enough to break down the young Croatian who by the end of the set had other issues concerning her.