In the earlier quarter-final, Konta's semi-final opponent Angelique Kerber stunned dual Australian Open champion Victoria Azarenka in straight sets.
Despite her superior ranking, the seventh seeded Kerber went into the game as a heavy underdog against Azarenka.
But Kerber, who had never beaten the 14th-seed in their six previous meetings, out-hit the Belarusian winning 6-3, 7-5 in an hour and 45 minutes.
"I can't actually describe it (winning) in words, I was 0-6 before I came on court," the German said court-side.
"I was saying to myself to play like I do on the practice courts and that's what I did.
"I was trying to serve good, to move good and to be more aggressive than the last times I played her."
The win returns the 28-year-old, a pupil of 22-time Grand Slam winner Steffi Graf, to the semi-finals of a major championship for the first time since the 2011 U.S. Open.
The flashy lefty blasted 31 winners past Azarenka to end the 26-year-old's hopes of claiming a third title at Melbourne Park.